50 points!

a. Use the Point-Slope form to find the equation of the line through the points (-5, 2) and (-2, 6).

b. Write the equation from part (a) above into the General as well as the slope-intercept form showing every step.

c. Find the x and y-intercepts of the equation above.

Answers

Answer 1

Answer:

a) y = 4/3x + 26/3

b) 4x - 3y + 26 = 0

c) x-int: (-6 1/2, 0)

   y-int: (0, 8 2/3)

Step-by-step explanation:

a) to get points into the point-slope form you first find the slope by taking the difference of the y-values over the difference of the x-values;

slope (m) = (6 - 2) / (-2 - -5)  =  4/3

plug 4/3 into 'm' and select one of the two points to plug in their 'x' and 'y' values so you can find 'b' (the y-intercept)

y = mx + b

6 = 4/3(-2) + b

6 = -8/3 + b

b = 6 + 8/3 = 18/3 + 8/3 or 26/3 (or 8.67)

so, put it all together to get the p-s form of y = 4/3x + 26/3

b) general equation is Ax + By + C = 0

take y = 4/3x + 26/3 and multiply each side by 3 to remove denominators

you get: 3y = 4x + 26;  rearrange to get 4x - 3y + 26 = 0

c) y-intercept is (0, 8 2/3); derived during step (a)

to get x-intercept, plug zero in for 'y' and solve for 'x':

0 = 4/3x + 26/3

-4/3x = 26/3

cross-multiply and get 12x = -78

x = -78/12 or -39/6 or -6 1/2


Related Questions

Which type of triangle is formed given the following angle measurements?
Angle 1: 50 degrees
Angle 2: 110 degrees
Angle 3: 20 degrees

Answers

An obtuse scalene triangle

Obtuse = an angle over 90
Scalene = three different angles

Which of these represents the equation of a line that passes through the points (-5, -4) and (3, 8)?
A
3
y = x +
7
2
B.
y = {
C
2
3
С
y = ſa +6
y= 3x - 22
D
2

Answers

The answer is a I just did it :)

HELP ME QUICK! ASAP! A stock clerk is arranging a case of 24 bottles of shampoo on a shelf. Each bottle contains 375 milliliters of shampoo. How many liters of shampoo do all bottles contain? Show your work.

PLEASE SHOW UR WORK LIKE HOW U GOT IT

Answers

375x24 is equal to 9000 so 9000 milliliters

Which explains why a caterpillar might look like a dangerous snake? *
(10 Points)
O A. The caterpillar and the snake have the same DNA.
B. The caterpillar and the snake have the same predators.
O C. An anti-predator adaptation has evolved in the caterpillar.
D. A behavioral adaptation has evolved in the caterpillar.

Answers

Answer:

C - An anti-predator adaptation has evolved in the caterpillar.

Step-by-step explanation:

An anti-predator adaptation has evolved in the caterpillar. By caterpillar might look like a dangerous snake.

What is adaptation?

The term adaption refers to that, In biology, there are three related definitions of adaptation. First, natural selection, a dynamic evolutionary process, adapts.

The organisms to their environments, improving their evolutionary fitness. Second, it is a state that the populace has attained throughout that process.

Both predator and prey species use a variety of camouflage strategies to survive, including adopting the appearance of fearsome or unappealing creatures.

Therefore, The right option (C) is correct.

Learn more about adaptation here:

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what does math means​

Answers

Answer:

It means mathematics.

Lamoo thats wht it said in go-ogle

Step-by-step explanation:

Solve.

−8y ≥ 56


a. y ≤ −7


b. y ≥ 7


c. y ≤ 7


d. y ≥ –7

Answers

Answer:

 I believe y ≤ -7 Sorry if I am incorrect

Step-by-step explanation:

I think the answer is A.

If 2/3n = -6, then 1/3n =

Answers

Then 1/3 equals -3 because half of 2 is one

Evaluate
2a+2b when a=10.8 and b=8.3.

Answers

38.2!! 10.8 x 2 + 8.3 x 2



HELP ASAP PLEASE!



The net for a triangular prism is shown below. What is the total surface area of the prism? 6.9 cm 8 cm 10 cm 8 cm 0 55.2 square centimeters 0 295.2 square centimeters 0 240 square centimeters 0 552 square centimeters​

Answers

Answer:

Step-by-step explanation:

The area of each rectangle is Length x width

Therefore Area of rectagle is 8cm x 10 cm=

A= 80 cm 2

There are three rectangles with the same measure so multiply the area by 3

80cm squared x 3= 240 cm 2

Now find the are of the triangle:

A- 1/2 x base x height

Base = 8cm

Height = 6.9 cm

A= (1/2) (8cm) (6.9cm)

A= (1/2) (55.2 cm squared)

A= 27.6 cm squared

Since there are two triangle faces with the same dimensions take the area and multiply it by 2

27.6 cm squared times 2 = 55/2 cm squared

Now add up the area of the rectangles and the area of the triangles.

Rectangles= 240 cm squared

Triangles 55.2 cm squared

240cm sq + 55.2 cm sq.= 295.2 cm squared

0.345 times 83.8 I forgot how to do it .w.

Answers

Answer:

28.911

Step-by-step explanation:

you just have to open up a calculator lol

3/4(8x -4) is equivalent to 3x - 2 + 3x - 1
true or flase

Answers

Answer:

true

Step-by-step explanation:

What is the constant and variable of 6a in algebra

Answers

Answer:

Constant is 6 and the variable is a

Look at this sequence starting with the FIRST TERM:
(a) 3, 7, 11, 15...
A Geometric
B Arithmetic

What is the rate of change?
(c) The Recursive Equation is:

Answers

Answer:

B.Arithmetic

Step-by-step explanation:

because the terms have a first common difference

the rate of change is 4

Can someone help me please it’s urgent what’s the answer or property of c?

Answers

Answer:

Associative property

Step-by-step explanation:

What is the slope of the line: Y= -5x subtract 15?

Answers

Answer:-5

Step-by-step explanation:

m is considered the slope

y=mx-15

And in this situation m=-5

So slope = -5

When a 15%, 38%, and 44% series of discounts are applied, the total markdown rounded to the nearest percent is​

Answers

Answer: 97%

Step-by-step explanation:

15% + 38% + 44% = 97%

If the point (−1,3) is translated according to the rule (x,y)→(x+4,y−2), and then reflected across the x-axis, what are the coordinates of the final image?
A. (3,−1)
B. (3,1)
C. (−1,3)
D. (-3. -1)

btw the answer is A, because i took the assignment on gizmos this is just for people who need the answer :>

Answers

Answer:

hi

Step-by-step explanation:

rfshs hmm jtutq JK jehewyywgu

Answer:

<3

Explanation:

I guess me need it in future

Help me please, 1. And 2.

Answers

Answer:

Step-by-step explanation:YOU HAVE TO SHOW ME THE WHOLE THING SO THAT I CAN ANSWER IT DUH


The price of an item yesterday was $40. Today, the price fell to $22. Find the percentage decrease.

Answers

Answer:

45%

Step-by-step explanation:

40 * .45 = 18

40-18 = 22

The percentage decrease of an item would be 45%.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

We can determine the value of the percentage decrease by the following formula,

percentage decrease = (initial value - reduced value) / initial value × 100%

As per the given question, we have

initial value = $40, and reduced value = $22

Substitute the values in the above formula, and we get

percentage decrease = (40 - 22) / 40 × 100%

percentage decrease = (18) / 40 × 100%

percentage decrease = 0.45 × 100%

Apply the multiplication operation, and we get

percentage decrease = 45%

Thus, the percentage decrease of an item would be 45%.

Learn more about the percentages here:

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Please help! I need by tomorrow

Answers

i don’t understand.
online school is hard

What is 8/12 + A/12=2/b

Answers

Answer:

A = -4

B = 12

Step-by-step explanation:

A is -4 because 8 - 4 is 2. B is 12 because both of the denominators are 12 so the answer's denominator should also be 12.

Hope it helps!

0.06 divided by 0.6 what is it

Answers

Answer:

0.1

Step-by-step explanation:

Answer:

0.1

Step-by-step explanation:

0.06 divided by 0.60 = 0.1

–9x + 9y = 9
y = –7

(
,
)

Answers

Answer:

x=-8

(-8,-7)

Step-by-step explanation:

–9x + 9y = 9

–9x + 9(-7) = 9 (y=-7)

-9x-63=9

Both side +63

-9x=63+9

-9x=72

Both side divide   -9

x=-8

y=-7

(-8,-7)

2) 8x +9y = 82
2x + 2y = 20

Answers

X=8 and y=2 solved using elimination

Which of the points shown below are on the line given by the equation y = 4x?
Check all that appply.

Answers

Answer:

The answer would be (1,4)

Step-by-step explanation:

There is an unknown number of people at the beginning of lunch. Then...

Each student had 3 friends come sit with them, tripling the amount.
Then the entire group divided into 4 groups, and all but one group left and went outside, so only 1 fourthof the total students were left in the lunchroom
7 more people came into the lunchroom
The total number of people in the lunchroom at the end of lunch was 16

Answers

Answer:

5.25

Step-by-step explanation:

Ally picked 25 roses. She gave away 10 roses. What percent of the roses does Ally still have?

Answers

Answer:

She still has 60%

Step-by-step explanation:

First you make the 25 a 100 which is basically multiply by 4 which you should do the same for 10

so 40/100 is how much she game away

She gave away 40%

She still has 60%

The percent of the roses does Ally still have is 60%.

Given that,

Ally picked 25 roses. She gave away 10 roses.

Based on the above information, the calculation is as follows:

[tex]= \frac{25-10}{25}[/tex]

= 60%

Learn more: brainly.com/question/17429689

I need help
Please answer y

Answers

Answer:

○ 1. B

○ 2. 146.25

Add the numbers

○3. (-6w) - 8 + 1 (-7w)

(-6w) -7 + (-7w)

Rearrange

(-6w) + -7 + (-7w)

(-6w) + (-7w) - 7

Solution

(-6w) + (-7w) - 7

○4. In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1

Answer:

hello there

Step-by-step explanation:

thank you very much

help me please. Can somebody please help me.

Answers

Answer:

oh my :o

Ok so just mutiply

Step-by-step explanation:

-9(x+2)=54 apply the distributive property and simplify ​

Answers

Answer:

x = -8

Step-by-step explanation:

-9 (x+2) = 54

-9x - 18 = 54

-9x = 72

x = -8

Hope this helps :)

Let me know if there are any mistakes!!

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