Find the Slope and Y-Intercept (-9,5) , (-10,-6)

Math
(-9,5) , (-10,-6)
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=-6-(5)-10-(-9)
Simplify.
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Simplify the numerator.
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Multiply -1 by 5.
m=-6-5-10-(-9)
Subtract 5 from -6.
m=-11-10-(-9)
m=-11-10-(-9)
Simplify the denominator.
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Multiply -1 by -9.
m=-11-10+9
Add -10 and 9.
m=-11-1
m=-11-1
Divide -11 by -1.
m=11
m=11
m=11
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=(11)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(11)⋅(-9)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
5=(11)⋅(-9)+b
Rewrite the equation as (11)⋅(-9)+b=5.
(11)⋅(-9)+b=5
Multiply 11 by -9.
-99+b=5
Move all terms not containing b to the right side of the equation.
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Add 99 to both sides of the equation.
b=5+99
Add 5 and 99.
b=104
b=104
b=104
The values of the slope and y-intercept are m=11 and b=104.
m=11
b=104
Find the Slope and Y-Intercept (-9,5) , (-10,-6)

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