Find the Slope and Y-Intercept (-2,3) , (-4,7)

Math
(-2,3) , (-4,7)
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=7-(3)-4-(-2)
Simplify.
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Simplify the numerator.
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Multiply -1 by 3.
m=7-3-4-(-2)
Subtract 3 from 7.
m=4-4-(-2)
m=4-4-(-2)
Simplify the denominator.
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Multiply -1 by -2.
m=4-4+2
Add -4 and 2.
m=4-2
m=4-2
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)⋅(-2)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
3=(-2)⋅(-2)+b
Rewrite the equation as (-2)⋅(-2)+b=3.
(-2)⋅(-2)+b=3
Multiply -2 by -2.
4+b=3
Move all terms not containing b to the right side of the equation.
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Subtract 4 from both sides of the equation.
b=3-4
Subtract 4 from 3.
b=-1
b=-1
b=-1
The values of the slope and y-intercept are m=-2 and b=-1.
m=-2
b=-1
Find the Slope and Y-Intercept (-2,3) , (-4,7)

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