Find the Slope and Y-Intercept (-15,-8) , (-18,-12)

Math
(-15,-8) , (-18,-12)
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=-12-(-8)-18-(-15)
Simplify.
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Simplify the numerator.
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Multiply -1 by -8.
m=-12+8-18-(-15)
Add -12 and 8.
m=-4-18-(-15)
m=-4-18-(-15)
Simplify the denominator.
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Multiply -1 by -15.
m=-4-18+15
Add -18 and 15.
m=-4-3
m=-4-3
Dividing two negative values results in a positive value.
m=43
m=43
m=43
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=(43)x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(43)⋅(-15)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
-8=(43)⋅(-15)+b
Rewrite the equation as (43)⋅(-15)+b=-8.
(43)⋅(-15)+b=-8
Simplify each term.
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Cancel the common factor of 3.
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Factor 3 out of -15.
43⋅(3(-5))+b=-8
Cancel the common factor.
43⋅(3⋅-5)+b=-8
Rewrite the expression.
4⋅-5+b=-8
4⋅-5+b=-8
Multiply 4 by -5.
-20+b=-8
-20+b=-8
Move all terms not containing b to the right side of the equation.
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Add 20 to both sides of the equation.
b=-8+20
Add -8 and 20.
b=12
b=12
b=12
The values of the slope and y-intercept are m=43 and b=12.
m=43
b=12
Find the Slope and Y-Intercept (-15,-8) , (-18,-12)

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