Find the Slope and Y-Intercept (-6,0) , (-7,-4)

Math
(-6,0) , (-7,-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-(0)-7-(-6)
Simplify.
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Simplify the numerator.
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Multiply -1 by 0.
m=-4+0-7-(-6)
Add -4 and 0.
m=-4-7-(-6)
m=-4-7-(-6)
Simplify the denominator.
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Multiply -1 by -6.
m=-4-7+6
Add -7 and 6.
m=-4-1
m=-4-1
Divide -4 by -1.
m=4
m=4
m=4
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=(4)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(4)⋅(-6)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
0=(4)⋅(-6)+b
Rewrite the equation as (4)⋅(-6)+b=0.
(4)⋅(-6)+b=0
Multiply 4 by -6.
-24+b=0
Add 24 to both sides of the equation.
b=24
b=24
The values of the slope and y-intercept are m=4 and b=24.
m=4
b=24
Find the Slope and Y-Intercept (-6,0) , (-7,-4)

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