Write an equation in standard form of the line that passes through (4,−1) and has the slope m=3.

Answers

Answer 1

Answer :

m = 3

Point = (4,-1)

x1 = 4

y1 = -1

Formula =

y - y1 = m (x-x1)

y - (-1) = 3 (x -4)

y + 1 = 3x -12

y - 3x + 1 + 12 = 0

y - 3x + 13 = 0

The line = y - 3x + 13 = 0 or -3x + y + 13 = 0

I'm sorry if I'm wrong.

Cmiiw

Good luck

Love from Indonesia

Answer 2

y=3x-13 is the equation in standard form of the line that passes through (4,−1) and has the slope m=3.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

m=3

We need to find slope intercept form, for this we should know the y intercept with slope m =3 and point (4,-1)

-1=3(4)+b

-1=12+b

-1-12=b

b=-13

y intercept is -13

Hence, y=3x-13 is the equation in standard form of the line that passes through (4,−1) and has the slope m=3.

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Related Questions

What role does Geometric formulas have in our lives??

Answers

Geometry helps us in deciding what materials to use, what design to make and also plays a vital role in the construction process itself. Different houses and buildings are built in different geometric shapes to give a new look as well as to provide proper ventilation inside the house.

Hope that helped :)


If a person walks 1/4 mile in 10 minutes, how far will that person walk in one hour?

Answers

Answer:

one and a half or 1/2 hours

The correct answer is 1/2

what is 5280 divided by 60

Answers

Answer:

88

Step-by-step explanation:

7. Which number is not a perfect square?
A. 81
C. 169
B. 125
D. 289

Answers

B. 125 because the square root of 125 is 11.180

Answer:

B. 125

Step-by-step explanation:

square roots:

81 = 9

169 = 13

125 = 11.180..

289 = 17

Knhrh theme jejrjrh eiie

Answers

Answer:

what

Step-by-step explanation:

Corresponding angles?


Helo im trying to pass

Answers

Answer:

Corresponding angles are

1 and 3

or 5 and 7

or 2 and 4

or 6 and 8

Step-by-step explanation:

3. What is the measure of angle ABE?

Answers

Answer:

50°

Step-by-step explanation:

Both angles are congruent

Answer:

The measure of angle ABE is 50 degrees because it is a vertical angle to CBD.

Step-by-step explanation:

What is P in 3 +
p=8




Btw thanks for the help ❤️

Answers

Answer:

5

Step-by-step explanation:

3y + 8 = I 7
Also can you show me the written steps?

Answers

3y=17-8
3y=9 Divide 9 and 3
Y=3

14.625 as a mixed number?

Answers

Answer:

14 5/8

Step-by-step explanation:

the answer would be 117/8

Determine the given equation is a linear equation write yes or no. If yes, write the equation in standard form.
7n - 8m = 4 - 2m.
Use Standard form

Answers

Answer:

The equation is linear. Standard form:

7n - 6m - 4 =0

Step-by-step explanation:

Linear Equations

The linear equations are identified because all terms form a polynomial of degree 1 or zero (no variable).

The standard form of a linear equation is:

ax+by+cz+d=0

where x, y, z are the variables, and a,b,c are constants.

The equation:

7n - 8m = 4 - 2m

Is linear, both variables have an exponent of 1 and there is an independent term. Moving all terms to the left side:

7n - 8m - 4 + 2m =0

Simplifying:

7n - 6m - 4 =0

Someone pls help me!!! (7th grade math work) will mark as Brainliest
SHOW WORK PLSSSSKSKSKS

Answers

Answer:

J.    42 =   x         57     100

Step-by-step explanation:

last year won 57 games

this year won 15 games

the difference is 57 - 15 = 42,

this means it drops 42 / 57 = 0.73 (100%)  ≈ 73%

therefore,  the percentage decrease from the given choices is: J

42 =   x  

57     100

What is the slope of a line perpendicular to the line whose equation is
6x - 5y = -40. Fully reduce your answer.

Answers

Answer:

Slope = - 5/6

Step-by-step explanation:

Step 1:

y = mx + b        Slope Intercept Form

Step 2:

6x - 5y = - 40      Equation

Step 3:

- 5y = - 6x - 40       Subtract 6x on both sides

Step 4:

y = 5/6x - 80      Divide 5 on both sides

Step 5:

m = Slope

Answer:

Slope = - 5/6

Hope This Helps :)

choose the graph of the translated parent function f(x)=cos(x) where it is translation 3 units up

Answers

Answer:c

Step-by-step explanation:move up 3 units on the y axis and create the graph

Write the quotient as a power

Answers

Answer:

a^20

Step-by-step explanation:

a^21-a^1

a^20

In his​ motorboat, Bill Ruhberg travels upstream at top speed to his favorite fishing​ spot, a distance of 264 ​mi, in 6 hr.​ Returning, he finds that the trip​ downstream, still at top​ speed, takes only 5.5 hr. Find the rate of​ Bill's boat and the speed of the current. Let x​ = the rate of the boat in still water and y​ = the rate of the current.

Answers

Answer:

The values are   [tex]x =  46 miles /hr [/tex]

                            [tex]y = 4 \  miles / hr[/tex]

Step-by-step explanation:

From the question we are told that

   The distance covered is  d =  264 miles

     The time taken is [tex]t_1 =  6 hours[/tex]

     The time taken for the return trip is  [tex]t_2  =  5.5 \ hours[/tex]

Generally during the trip  toward fishing spot , the velocity is mathematically represented as

     [tex]v_t  =  \frac{d}{t_1 } = x - y[/tex]

=>  [tex]v_t  =  \frac{264}{6 } = x - y[/tex]

=>    [tex]x - y  = 44 \cdots 1 [/tex]

Generally during the  return trip  , the velocity is mathematically represented as

      [tex]v_r  =  \frac{d}{t_2}  =  x+ y[/tex]

=>   [tex]v_r  =  \frac{264}{5.5}  =  x+ y[/tex]

=>   [tex]48 =  x+ y\cdots 2[/tex]

add equation 1 and 2

       [tex]2x =  92[/tex]

=>    [tex]x =  46 miles /hr [/tex]

substituting this  into  equation 1

     [tex] 46 - y  = 44 \cdots 1 [/tex]

=>   [tex]y = 4 \  miles / hr[/tex]

Help plz it’s algebra 2 vertex forms of quadratic function

Answers

Answer:

I did the entire thing I attached the picture for it !! hope this helps !!

I didnt do 5 and 7 cause I forgot how to do those!!

10 : 35 fraction in simplest from

Answers

- 2/7

What is 10/35 Simplified? - 2/7 is the simplified fraction for 10/35.

-BBBM

(25,-14) (-3,7)
determine the slope

Answers

-3/4
y2-y1/x2-x1
7– -14/-3-25=21/-28=-.75=-3/4

PLEASE HELP!! Brainliest to first answer

Part A: An archer shoots an arrow into the sky where the motion of the arrow can be modeled by the equation() = −5^2 + 20 + 4. Where t is time in seconds and f(t) is height in feet. Find how long it will take the arrow to hit the ground using an algebraic method. Round to the nearest tenth if necessary. Show all of your reasoning used with this algebraic method.

Part B: Using the information in Part A, find how high the arrow will go at its maximum height, and how long it takes for this to occur using an algebraic method. Show all of your reasoning used with this algebraic method. Round to the nearest tenth if necessary.

Answers

Answer:

The arrow will take 4.19 seconds to hit the ground

The arrow will go 24 feet to reach its maximum height and it takes 2 seconds to reach this height

Step-by-step explanation:

The quadratic function is f(t) = -5t² + 20t + 4, where

f(t) is the height in feet

t is the time in seconds

If the arrow hit the ground that means h(t) = 0

→ Substitute h(t) by 0 and use the quadratic formula to find t

∵ h(t) = 0

∴ 0 = -5t² + 20t + 4

→ Switch the two sides

∴ -5t² + 20t + 4 = 0

→ Multiply all terms by -1 to make the coefficient of t² positive

5t² - 20t - 4 = 0

→ The quadratic formula is [tex]t=\frac{-b+-\sqrt{b^{2}-4ac}}{2a}[/tex] , where

a is the coefficient of t²b is the coefficient of tc is the numerical term

∵ a = 5, b = -20, c = -4

∴ [tex]t=\frac{-5+-\sqrt{(-20)^{2}-4(5)(-4)}}{2(5)}[/tex]

∴ [tex]t=\frac{-5+-\sqrt{400+80}}{10}[/tex]

→ Find the values of t in decimal

t = 4.19 seconds OR t = -0.19refused because it is negative

The arrow will take 4.19 seconds to hit the ground

The graph of this quadratic function is a parabola with maximum vertex (h, k), where

h = [tex]\frac{-b}{2a}[/tex]k = f(h)

To find the maximum height and the time taking for this to occur find h and k where k is the maximum height and h is the time for this to occur

∵ f(t) = -5t² + 20t + 4

∵ a = -5 and b = 20

∴ h = [tex]-\frac{20}{2(-5)}=-\frac{20}{-10}=2[/tex]

The time for the maximum height is 2 seconds

→ Now use it to find k

∵ k = f(h)

∴ k = f(2)

∵ f(2) = -5(2)²+ 20(2) + 4

∴ f(2) = -5(4) + 40 + 4

∴ f(2) = -20 + 40 + 4

∴ f(2) = 24

∴ k = 24

The maximum height is 24 feet

The arrow will go 24 feet to reach its maximum height and it takes 2 seconds to reach this height

Please help. Only help if you know the answer

Answers

Answer:y-7=-9/8(x-0)

Step-by-step explanation:

Answer:

y -7 = -9/8 (x-0)

Step-by-step explanation:

i hope it help

help asap i need this todayy

Answers

y = 2/3 , hope this helps !

The equation for line w is y = 2x – 3. Line d contains the point (4, -1) and is parallel to line w. Which equation
describes line d?

Answers

Answer:

y = 2x - 7

Step-by-step explanation:

y = 2x - 3

Gradient of line w = 2

Gradient of line d = 2

i.e line w and d are parallel.

Equation of line d is:

y - (-1) = 2(x - 4)

y + 1 = 2x - 8

y = 2x - 7

find the equation of the line shown
how do you do this ?

Answers

Answer:

y=1/2x+0.5

Step-by-step explanation:

The slope is 1/2, which you can see by looking at the change of y/x. The y intercept is 0.5, which can be seen on the y axis.

Ryan and his brother are at a carnival. They separate from each other at the ferris wheel at 1:00 PM, and they agree that they will each meet back at the ferris wheel from time to time to see whether the other is ready to leave. Ryan checks the ferris wheel every 15 minutes. His brother checks in every 24 minutes. At what time will they meet at the ferris wheel again. (Hint: Don't forget you're looking for a time)

Answers

Answer:

3:00pm

Step-by-step explanation:

The idea hear is to find the least common multiples of 15 and 24

Given that they separated at exactly 1:00pm

the multiples are

15= 15,30,45,60,75,90,105,120

24= 24, 48,72,96,120

the multiples common is 120

Therefore they will meet in 120minute, which is 2 hours time \

hence the time will be 3:00pm

i will make you brainlliest whoever answers this right and will give you points Please help me i am having a hard time
Evaluate 14 + (-8) ÷ 2 · -3.

26
-9
-30
15

Answers

14 + (-8) / 2 x -3

Follow order of operations: divide and multiply from left to right:

-8/2 = -4 x -3 = 12

Now you have 14 + 12

The answer is 26

Answer:

26

Step-by-step explanation:

14+(-8) ÷ 2 (-3)

14+ (-4)(-3)

14+12

26

Which equation shows a proportional relationship between x and y?

y = 16

y = 7x

y=−7x−2

y = 9x + 1

Answers

The equation that shows a proportional relationship is y = 7x.

How to find the equation that is proportional?

Two variables have a proportional relationship if all the ratios of the variables are equivalent.

In other words, a proportional relationship is one in which two quantities vary directly with each other.

Therefore, a proportional relationship can be represented as y = kx.

where

k = constant of proportionalitythe variables are x and y

Therefore, y varies directly as x in a proportional relationship.

Hence, the equation that shows proportional relationship is y = 7x as 7 is the constant of proportionality. y and x are the variables.

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Answer:

y = 7x

Step-by-step explanation:

the proportional relationship is y = 7x as 7 is the constant of proportionality. y and x are the variables.

–25y – 35
plz tell me step by step

Answers

the answer will be y= 1.4 ..

Solve:
x/4 - x/8 = 5

Answers

Answer:

x=40

Step-by-step explanation:

x/4 - x/8

LCM of 4,8=8

x/4x2/2 - x/8=5

2x/8 - x/8 =5

x/8=5

transpose

x=5x8

x=40

hope this helps

please mark as brainliest

What are both of these shaded as?

Answers

Answer:

1 whole and 15/100= 1.15

Step-by-step explanation:

The first box is 1 whole, in total there are 100 squares. All u need to do is count the number of squares

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