Find the Slope and Y-Intercept (5,-1) , (0,-4)

Math
(5,-1) , (0,-4)
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-(-1)0-(5)
Simplify.
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Simplify the numerator.
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Multiply -1 by -1.
m=-4+10-(5)
Add -4 and 1.
m=-30-(5)
m=-30-(5)
Simplify the denominator.
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Multiply -1 by 5.
m=-30-5
Subtract 5 from 0.
m=-3-5
m=-3-5
Dividing two negative values results in a positive value.
m=35
m=35
m=35
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=(35)x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(35)⋅(5)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
-1=(35)⋅(5)+b
Rewrite the equation as (35)⋅(5)+b=-1.
(35)⋅(5)+b=-1
Cancel the common factor of 5.
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Cancel the common factor.
35⋅5+b=-1
Rewrite the expression.
3+b=-1
3+b=-1
Move all terms not containing b to the right side of the equation.
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Subtract 3 from both sides of the equation.
b=-1-3
Subtract 3 from -1.
b=-4
b=-4
b=-4
The values of the slope and y-intercept are m=35 and b=-4.
m=35
b=-4
Find the Slope and Y-Intercept (5,-1) , (0,-4)

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