Find an equation of the line that passes through the points (-2, 1) and (3, 3). Write your equation in either point-slope form, standard form, or slope-intercept form.
m=3-1/3+2=2/5
Equation of line in point slope. form
[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]
[tex]\\ \sf\longmapsto y-1=2/5(x-(-2))[/tex]
[tex]\\ \sf\longmapsto y-1=2/5(x+2)[/tex]
[tex]\\ \sf\longmapsto 5y-5=2x+4[/tex]
[tex]\\ \sf\longmapsto 2x-5y+9=0[/tex]
The equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).
What is the slope of the line?The slope of a line is defined as the angle of the line.
Given that line passes through the points (-2, 1) and (3, 3)
Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
x₁ = -2, y₁ = 1
x₂ = 3, y₂ = 3
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Substitute values in the equation, we get
⇒ y - 1 = (3 - 1)/(3-(-2))[x -(-2)]
⇒ y - 1 = (2)/(5)[x+2]
⇒ y - 1 = 2/5(x -3)
⇒ y = (2/5)x - 6/5 + 1
⇒ y = (2/5)x - 1/5
Therefore, the equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).
Learn more about the Lines here:
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can someone help please :)
Please.....................
Answer:
B
Step-by-step explanation:
y = -3x + 5
y = 7 + 3(x - 2)
y = 2(x - 1) - 4
y = x - 6
determine if they represent a linear or nonlinear function.
Answer:
linear
Step-by-step explanation:
what is the value of x?
a)
[tex]2 \sqrt{10} [/tex]
b)
[tex]2 \sqrt{2} [/tex]
c)
[tex]2 \sqrt{5} [/tex]
d)
[tex]2 \sqrt{3} [/tex]
Answer:
A
Step-by-step explanation:
using pythagoras theorem
h²=p²+b²
The wire is 25 feet long is stretched from the top of a flagpole to the ground at a point 15 feet from the base of the pole .how high is the flag pole
Answer:
20 feet
Step-by-step explanation:
Using Pythagoras rule:
25^2 - 15^2
625 - 225
400
√400 = 20 feet
a(-3)=5 What will a equal
Answer:
a = - 5/3
Step-by-step explanation:
7x-2y=-29
9x+10y=13
emliantion substuion methd
Answer:
(-3, 4)
Step-by-step explanation:
5(7x - 2y = -29)
35x - 10y = -145
9x + 10y = 13
44x = -132
x = -3
7(-3) - 2y = -29
-21 - 2y = -29
-2y = -8
y = 4
Math question in attachment
Answer:
Nope
Step-by-step explanation:
If you do the line test you would see that two dots touch the line and that means it is not a function.
Zoom in so you can see it
I will give you 50 point and brain list
Answer:
so this is what it should be let me know if this Is wrong
Write the triangle congruence statement.
Answer:
If three sides of one triangle are congruent to three corresponding sides of another triangle, then the triangles re congruent. SSS
Step-by-step explanation:
or If two sides and the included angle of one triangle are congruent to the corresponding sides and the included angle of another triangle, then the triangles are congruent. SAS
I need this solved with the answer as an ordered pair
Answer:
look at the picture i have sent
Pls help me solve this
Answer:
F. Yes, by the SAS Congruence Theorem
Explanation:
In △ABC and △EDC:
BC = CD (given)AC = CE (given)∠ACB = ∠ECD (vertically opposite angles)Hence, by the SAS Congruence Theorem, which states two triangles, with two sides and one angle equal, as congruent.
△ABC ≅ △EDC
what is the desimal for
Answer:
A decimal is used to identify a unit of measure with precision because not all whole numbers cannot represent a unit of measure in a respective situation.
Answer:
Decimals are used to express the whole number and fraction together.
Step-by-step explanation:
Having trouble using logarithmic differentiation!
Answer:
Having trouble using logarithmic differentiation!
i need the solution to this problem pls!
Answer:
FE = 43.2
Step-by-step explanation:
FE/36 = 24/20
multply both sides by 36
FE = 24/20 * 36
FE = 43.2
Is this true or false? The following graph represents a proportional relationship: (1 point)
Answer:
where is the graph??
Step-by-step explanation:
i have no picture soooo like
-2x + 2y = 10
Y = x + 5
A. The graphs of the equation are lines that intersect at one point because the equations have the same slope and same y-intercept. Therefore, the system has exactly one solution.
B. The graphs of the equations are the same line because the equations have the same slope and same y-intercept. Therefore, the system has infinitely many solutions.
C. The graphs of the equations are lines that intersect at one point because the equations have the same slope but different y-intercepts. Therefore, the system has exactly one solution.
D. The graphs of the equations are parallel lines because they have the same slope but different y-intercepts. Therefore, the system has no solution.
Trinity already has $135 dollars in her savings account. If she puts $15 per week in her account, write and solve an inequality to find out how many weeks she must save to have at least $480 in her account.
Answer:
let x stand for number of weeks
135+15x>=480
x>=23
Step-by-step explanation:
subtract 135 on both sides
15x>=345
divide by 15 on both sides
x>=23 is your solution
Answer:10
Step-by-step explanation:
10
Evaluate: 5x + 1 when x = 2.
Answer:
answer is like 10aaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
solving systems of equations in three variables
Answer:
A: (x = 34, y = -27, z = -1)
Step-by-step explanation:
Plug the variables in. It might be tedious, but it guarantees you get it right.
Let's try A first. 2(34) + 2(-27) + 6(-1) = 8. Is this correct? Yes. However, you gotta plug it in for the other three equations. 5(34) + 6(-27) + 5(-1) = 3. Is this correct? Yes again. One last equation. 5(34) + 6(-27) + 3(-1) = 5. That's correct as well. The answer is A.
In case you still weren't sure if the answer was A or not;
B: 2(33) + 2(-26) + 6(0) = 14. Right away we can see that B will be incorrect.
C: 2(35) + 2(-28) + 6(-2) = 2. Again, incorrect.
D: 2(36) + 2(-29) + 6(1) = 20. Incorrect!
A is the correct answer.
Identifying values in the domain PLS HELP
Select the correct answer.
Consider these functions:
Rx) = 5x + 2
g(x) = x-1
What is the value of g(1-1))?
A. 2
OB. 8
OC.
22
D.
48
Answer:
- 8
Step-by-step explanation:
Evaluate g(- 64) then substitute the value obtained into f(x)
g(- 64) = [tex]\sqrt[3]{-64}[/tex] + 1 = - 4 + 1 = - 3 , then
f(- 3) = (- 3 + 1)³ = (- 2)³ = - 8
Find the equation of the line passing through the following : (-1;6) and (-3;0)
Please help...
Answer:
Step-by-step explanation:
[tex](x_{1} , y_{1}) = (-1,6)\\\\(x_{2},y_{2}) = ( -3, 0)\\\\Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_1}}\\\\\\=\dfrac{0-6}{-3+1}\\\\\\=\dfrac{-6}{-2}\\\\=3[/tex]
Equation of the line: y= mx +b
y = 3x + b
Substitute ((-1 , 6) in the above equation
6 = 3*(-1) + b
6 = -3+b
6 +3 = b
b = 9
y = 3x + 9
3(2x + 5) + 4(3x - 2)
Answer:
18x+7
Step-by-step explanation:
3(2x + 5) + 4(3x - 2)
6x+15 + 12x - 8.........distribute
18x+7..........................combine like terms
18x+7
[tex]Hiya![/tex]
Sokka is here to help!!
Here's a explanation!
[tex]3(2x + 5) + 4(3x - 2)[/tex]
You have to distribute:
[tex]=(3)(2x)+(3)(5)+(4)(3x)+(4)(-2)[/tex]
[tex]=6x+15+12x+-8[/tex]
You must combine like terms:
[tex]=6x+15+12x+-8[/tex]
[tex]=(6x+12x)+(15+-8)[/tex]
[tex]=18x+7[/tex]
ANSWER:
[tex]=18x+7[/tex]
Hopefully, this helps you!!
[tex]Sokka[/tex]
simplify 2 by 3 multiply by 2 plus 3 1 by 3
Step-by-step explanation:
[tex] \\ \frac{2}{3} \times 2 +3 \frac{1}{3} [/tex]
[tex] \\ = \frac{4}{3} + 3 \frac{1}{3} [/tex]
[tex] \\ = \frac{4}{3} + \frac{10}{3} [/tex]
[tex] \\ = \frac{4 + 10}{3} [/tex]
[tex] \\ = \frac{14}{3} [/tex]
[tex] \\ = 4\frac{2}{3} \: \: or \: \: 4.67[/tex]
help me please thanks
Answer:
h(t) = -3 + 1.5t
Step-by-step explanation:
Well, the temperature starts at -3, so that will be the y intercept. 1.5 is the rate, so that will be the slope.
h(t) = -3 + 1.5t
i need help finding the product but i have to simplify. it., -w(-2w^2-3w+1)
Answer:
I have simplified it to −
2 ^ 3 − 3 ^2 +
Step-by-step explanation:
[tex] \large\color{green}{ \tt{2w³ +3w² −w}}[/tex]
Step by Step Solution: Use the distributive property to multiply – w by – 2x – 3w + 1.
[tex] \large\color{green}{ \tt{−2(−w)w² −3(−w)w−}}[/tex]
Multiply −2 and −1 to get 2.[tex] \large\color{green}{ \tt{2ww² − 3(− w)w − w}}[/tex]
To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.[tex] \large\color{green}{ \tt{2w³ − 3(−w)w − w}}[/tex]
Multiply −3 and −1 to get 3.[tex] \large\color{green}{ \tt{2w³ + 3ww − w}}[/tex]
Multiply w and w to get w².[tex] \large\color{green}{ \tt{2w³ + 3w² - w}}[/tex]
Hope It's Help
explain why the area of the circle is less than 4 square units
Answer:
50ithe distance between two cities X and Y is 50 km Ramesh travel from City a to city y by scooter with an average speed of 30 km per hour how long will it take him to reach city y
I really need help pls!!
Answer:
116
Step-by-step explanation:
First, find x. The three angles of any triangle will always equal 180, so set up an equation like this:
(14x+4)+(5x-1)+(2x+9)=180
x=8
Then to find angle A put 8 in place of x. 14(8)+4=116
Answer:
[tex]116 \degree[/tex]
Step-by-step explanation:
Interior angles of a triangle is added up to 180°
Therefore,
[tex]14 x + 4 + 5x - 1 + 2x + 9 = 180 \degree\\ [/tex]
Now you can solve this equation and find the value of x
[tex]14 x + 4 + 5x - 1 + 2x + 9 = 180 \degree \\ 14x + 5x + 2x + 4 - 1 + 9 = 180 \\ 21x + 12 = 180 \\ 21x = 180 - 12 \\ 21x = 168 \\ \frac{21x}{21} = \frac{168}{21} \\ x = 8[/tex]
Now you can Find the value of <A
[tex]14x + 4 \\ 14 \times 8 + 4 \\ 112 + 4 \\ = 116 \degree[/tex]
Hope this helps you.
Let me know if you have any other questions :-):-)