Find the Slope and Y-Intercept (10,11) , (15,16)

Math
(10,11) , (15,16)
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=16-(11)15-(10)
Simplify.
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Simplify the numerator.
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Multiply -1 by 11.
m=16-1115-(10)
Subtract 11 from 16.
m=515-(10)
m=515-(10)
Simplify the denominator.
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Multiply -1 by 10.
m=515-10
Subtract 10 from 15.
m=55
m=55
Divide 5 by 5.
m=1
m=1
m=1
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=(1)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(1)⋅(10)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
11=(1)⋅(10)+b
Rewrite the equation as (1)⋅(10)+b=11.
(1)⋅(10)+b=11
Multiply 10 by 1.
10+b=11
Move all terms not containing b to the right side of the equation.
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Subtract 10 from both sides of the equation.
b=11-10
Subtract 10 from 11.
b=1
b=1
b=1
The values of the slope and y-intercept are m=1 and b=1.
m=1
b=1
Find the Slope and Y-Intercept (10,11) , (15,16)

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