Find the Slope and Y-Intercept (-9,-9) , (10,19)

Math
(-9,-9) , (10,19)
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=19-(-9)10-(-9)
Simplify.
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Simplify the numerator.
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Multiply -1 by -9.
m=19+910-(-9)
Add 19 and 9.
m=2810-(-9)
m=2810-(-9)
Simplify the denominator.
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Multiply -1 by -9.
m=2810+9
Add 10 and 9.
m=2819
m=2819
m=2819
m=2819
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=(2819)x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(2819)⋅(-9)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
-9=(2819)⋅(-9)+b
Rewrite the equation as (2819)⋅(-9)+b=-9.
(2819)⋅(-9)+b=-9
Simplify each term.
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Multiply (2819)(-9).
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Combine 2819 and -9.
28⋅-919+b=-9
Multiply 28 by -9.
-25219+b=-9
-25219+b=-9
Move the negative in front of the fraction.
-25219+b=-9
-25219+b=-9
Move all terms not containing b to the right side of the equation.
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Add 25219 to both sides of the equation.
b=-9+25219
To write -9 as a fraction with a common denominator, multiply by 1919.
b=-9⋅1919+25219
Combine -9 and 1919.
b=-9⋅1919+25219
Combine the numerators over the common denominator.
b=-9⋅19+25219
Simplify the numerator.
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Multiply -9 by 19.
b=-171+25219
Add -171 and 252.
b=8119
b=8119
b=8119
b=8119
The values of the slope and y-intercept are m=2819 and b=8119.
m=2819
b=8119
Find the Slope and Y-Intercept (-9,-9) , (10,19)

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