Find the Slope and Y-Intercept (14,2) , (-4,-13)

Math
(14,2) , (-4,-13)
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=-13-(2)-4-(14)
Simplify.
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Simplify the numerator.
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Multiply -1 by 2.
m=-13-2-4-(14)
Subtract 2 from -13.
m=-15-4-(14)
m=-15-4-(14)
Simplify the denominator.
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Multiply -1 by 14.
m=-15-4-14
Subtract 14 from -4.
m=-15-18
m=-15-18
Cancel the common factor of -15 and -18.
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Factor -3 out of -15.
m=-3⋅5-18
Cancel the common factors.
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Factor -3 out of -18.
m=-3⋅5-3⋅6
Cancel the common factor.
m=-3⋅5-3⋅6
Rewrite the expression.
m=56
m=56
m=56
m=56
m=56
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=(56)x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(56)⋅(14)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
2=(56)⋅(14)+b
Rewrite the equation as (56)⋅(14)+b=2.
(56)⋅(14)+b=2
Simplify each term.
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Cancel the common factor of 2.
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Factor 2 out of 6.
52(3)⋅14+b=2
Factor 2 out of 14.
52⋅3⋅(2⋅7)+b=2
Cancel the common factor.
52⋅3⋅(2⋅7)+b=2
Rewrite the expression.
53⋅7+b=2
53⋅7+b=2
Combine 53 and 7.
5⋅73+b=2
Multiply 5 by 7.
353+b=2
353+b=2
Move all terms not containing b to the right side of the equation.
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Subtract 353 from both sides of the equation.
b=2-353
To write 2 as a fraction with a common denominator, multiply by 33.
b=2⋅33-353
Combine 2 and 33.
b=2⋅33-353
Combine the numerators over the common denominator.
b=2⋅3-353
Simplify the numerator.
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Multiply 2 by 3.
b=6-353
Subtract 35 from 6.
b=-293
b=-293
Move the negative in front of the fraction.
b=-293
b=-293
b=-293
The values of the slope and y-intercept are m=56 and b=-293.
m=56
b=-293
Find the Slope and Y-Intercept (14,2) , (-4,-13)

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