Find the Slope and Y-Intercept (-2,2) , (3,-4)

Math
(-2,2) , (3,-4)
Find the value of the slope.
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Slope is equal to the change in y over the change in x, or rise over run.
m=change in ychange in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
m=y2-y1x2-x1
Substitute in the values of x and y into the equation to find the slope.
m=-4-(2)3-(-2)
Simplify.
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Simplify the numerator.
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Multiply -1 by 2.
m=-4-23-(-2)
Subtract 2 from -4.
m=-63-(-2)
m=-63-(-2)
Simplify the denominator.
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Multiply -1 by -2.
m=-63+2
Add 3 and 2.
m=-65
m=-65
Move the negative in front of the fraction.
m=-65
m=-65
m=-65
Find the value of the y-intercept.
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Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(-65)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(-65)⋅(-2)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
2=(-65)⋅(-2)+b
Rewrite the equation as (-65)⋅(-2)+b=2.
(-65)⋅(-2)+b=2
Multiply (-65)(-2).
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Multiply -2 by -1.
2(65)+b=2
Combine 2 and 65.
2⋅65+b=2
Multiply 2 by 6.
125+b=2
125+b=2
Move all terms not containing b to the right side of the equation.
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Subtract 125 from both sides of the equation.
b=2-125
To write 2 as a fraction with a common denominator, multiply by 55.
b=2⋅55-125
Combine 2 and 55.
b=2⋅55-125
Combine the numerators over the common denominator.
b=2⋅5-125
Simplify the numerator.
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Multiply 2 by 5.
b=10-125
Subtract 12 from 10.
b=-25
b=-25
Move the negative in front of the fraction.
b=-25
b=-25
b=-25
The values of the slope and y-intercept are m=-65 and b=-25.
m=-65
b=-25
Find the Slope and Y-Intercept (-2,2) , (3,-4)

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