Find the Slope and Y-Intercept (-4,3) , (-2,-1)

Math
(-4,3) , (-2,-1)
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=-1-(3)-2-(-4)
Simplify.
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Simplify the numerator.
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Multiply -1 by 3.
m=-1-3-2-(-4)
Subtract 3 from -1.
m=-4-2-(-4)
m=-4-2-(-4)
Simplify the denominator.
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Multiply -1 by -4.
m=-4-2+4
Add -2 and 4.
m=-42
m=-42
Divide -4 by 2.
m=-2
m=-2
m=-2
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=(-2)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(-2)⋅(-4)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
3=(-2)⋅(-4)+b
Rewrite the equation as (-2)⋅(-4)+b=3.
(-2)⋅(-4)+b=3
Multiply -2 by -4.
8+b=3
Move all terms not containing b to the right side of the equation.
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Subtract 8 from both sides of the equation.
b=3-8
Subtract 8 from 3.
b=-5
b=-5
b=-5
The values of the slope and y-intercept are m=-2 and b=-5.
m=-2
b=-5
Find the Slope and Y-Intercept (-4,3) , (-2,-1)

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