Find the Slope and Y-Intercept (6,1) , (8,9)

Math
(6,1) , (8,9)
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=9-(1)8-(6)
Simplify.
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Simplify the numerator.
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Multiply -1 by 1.
m=9-18-(6)
Subtract 1 from 9.
m=88-(6)
m=88-(6)
Simplify the denominator.
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Multiply -1 by 6.
m=88-6
Subtract 6 from 8.
m=82
m=82
Divide 8 by 2.
m=4
m=4
m=4
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=(4)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(4)⋅(6)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
1=(4)⋅(6)+b
Rewrite the equation as (4)⋅(6)+b=1.
(4)⋅(6)+b=1
Multiply 4 by 6.
24+b=1
Move all terms not containing b to the right side of the equation.
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Subtract 24 from both sides of the equation.
b=1-24
Subtract 24 from 1.
b=-23
b=-23
b=-23
The values of the slope and y-intercept are m=4 and b=-23.
m=4
b=-23
Find the Slope and Y-Intercept (6,1) , (8,9)

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