Find the Slope and Y-Intercept (-13.7,5.9) , (-13.2,4.3)

Math
(-13.7,5.9) , (-13.2,4.3)
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=4.3-(5.9)-13.2-(-13.7)
Simplify.
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Simplify the numerator.
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Multiply -1 by 5.9.
m=4.3-5.9-13.2-(-13.7)
Subtract 5.9 from 4.3.
m=-1.6-13.2-(-13.7)
m=-1.6-13.2-(-13.7)
Simplify the denominator.
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Multiply -1 by -13.7.
m=-1.6-13.2+13.7
Add -13.2 and 13.7.
m=-1.60.5
m=-1.60.5
Divide -1.6 by 0.5.
m=-3.2
m=-3.2
m=-3.2
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=(-3.2)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(-3.2)⋅(-13.7)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
5.9=(-3.2)⋅(-13.7)+b
Rewrite the equation as (-3.2)⋅(-13.7)+b=5.9.
(-3.2)⋅(-13.7)+b=5.9
Multiply -3.2 by -13.7.
43.84+b=5.9
Move all terms not containing b to the right side of the equation.
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Subtract 43.84 from both sides of the equation.
b=5.9-43.84
Subtract 43.84 from 5.9.
b=-37.94
b=-37.94
b=-37.94
The values of the slope and y-intercept are m=-3.2 and b=-37.94.
m=-3.2
b=-37.94
Find the Slope and Y-Intercept (-13.7,5.9) , (-13.2,4.3)

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