Find the Slope and Y-Intercept (9,-9) , (1,-16)

Math
(9,-9) , (1,-16)
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=-16-(-9)1-(9)
Simplify.
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Simplify the numerator.
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Multiply -1 by -9.
m=-16+91-(9)
Add -16 and 9.
m=-71-(9)
m=-71-(9)
Simplify the denominator.
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Multiply -1 by 9.
m=-71-9
Subtract 9 from 1.
m=-7-8
m=-7-8
Dividing two negative values results in a positive value.
m=78
m=78
m=78
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=(78)x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(78)⋅(9)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
-9=(78)⋅(9)+b
Rewrite the equation as (78)⋅(9)+b=-9.
(78)⋅(9)+b=-9
Multiply (78)(9).
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Combine 78 and 9.
7⋅98+b=-9
Multiply 7 by 9.
638+b=-9
638+b=-9
Move all terms not containing b to the right side of the equation.
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Subtract 638 from both sides of the equation.
b=-9-638
To write -9 as a fraction with a common denominator, multiply by 88.
b=-9⋅88-638
Combine -9 and 88.
b=-9⋅88-638
Combine the numerators over the common denominator.
b=-9⋅8-638
Simplify the numerator.
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Multiply -9 by 8.
b=-72-638
Subtract 63 from -72.
b=-1358
b=-1358
Move the negative in front of the fraction.
b=-1358
b=-1358
b=-1358
The values of the slope and y-intercept are m=78 and b=-1358.
m=78
b=-1358
Find the Slope and Y-Intercept (9,-9) , (1,-16)

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