Find the Slope and Y-Intercept (-13,-17) , (-15,-20)

Math
(-13,-17) , (-15,-20)
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=-20-(-17)-15-(-13)
Simplify.
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Simplify the numerator.
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Multiply -1 by -17.
m=-20+17-15-(-13)
Add -20 and 17.
m=-3-15-(-13)
m=-3-15-(-13)
Simplify the denominator.
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Multiply -1 by -13.
m=-3-15+13
Add -15 and 13.
m=-3-2
m=-3-2
Dividing two negative values results in a positive value.
m=32
m=32
m=32
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=(32)x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(32)⋅(-13)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
-17=(32)⋅(-13)+b
Rewrite the equation as (32)⋅(-13)+b=-17.
(32)⋅(-13)+b=-17
Simplify each term.
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Multiply (32)(-13).
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Combine 32 and -13.
3⋅-132+b=-17
Multiply 3 by -13.
-392+b=-17
-392+b=-17
Move the negative in front of the fraction.
-392+b=-17
-392+b=-17
Move all terms not containing b to the right side of the equation.
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Add 392 to both sides of the equation.
b=-17+392
To write -17 as a fraction with a common denominator, multiply by 22.
b=-17⋅22+392
Combine -17 and 22.
b=-17⋅22+392
Combine the numerators over the common denominator.
b=-17⋅2+392
Simplify the numerator.
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Multiply -17 by 2.
b=-34+392
Add -34 and 39.
b=52
b=52
b=52
b=52
The values of the slope and y-intercept are m=32 and b=52.
m=32
b=52
Find the Slope and Y-Intercept (-13,-17) , (-15,-20)

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