Find the Slope and Y-Intercept (-6,0) , (-7,-3)

Math
(-6,0) , (-7,-3)
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=-3-(0)-7-(-6)
Simplify.
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Simplify the numerator.
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Multiply -1 by 0.
m=-3+0-7-(-6)
Add -3 and 0.
m=-3-7-(-6)
m=-3-7-(-6)
Simplify the denominator.
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Multiply -1 by -6.
m=-3-7+6
Add -7 and 6.
m=-3-1
m=-3-1
Divide -3 by -1.
m=3
m=3
m=3
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=(3)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(3)⋅(-6)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
0=(3)⋅(-6)+b
Rewrite the equation as (3)⋅(-6)+b=0.
(3)⋅(-6)+b=0
Multiply 3 by -6.
-18+b=0
Add 18 to both sides of the equation.
b=18
b=18
The values of the slope and y-intercept are m=3 and b=18.
m=3
b=18
Find the Slope and Y-Intercept (-6,0) , (-7,-3)

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