Find the Slope and Y-Intercept (1,-3) , (-1,7)

Math
(1,-3) , (-1,7)
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=7-(-3)-1-(1)
Simplify.
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Simplify the numerator.
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Multiply -1 by -3.
m=7+3-1-(1)
Add 7 and 3.
m=10-1-(1)
m=10-1-(1)
Simplify the denominator.
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Multiply -1 by 1.
m=10-1-1
Subtract 1 from -1.
m=10-2
m=10-2
Divide 10 by -2.
m=-5
m=-5
m=-5
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=(-5)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(-5)⋅(1)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
-3=(-5)⋅(1)+b
Rewrite the equation as (-5)⋅(1)+b=-3.
(-5)⋅(1)+b=-3
Multiply -5 by 1.
-5+b=-3
Move all terms not containing b to the right side of the equation.
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Add 5 to both sides of the equation.
b=-3+5
Add -3 and 5.
b=2
b=2
b=2
The values of the slope and y-intercept are m=-5 and b=2.
m=-5
b=2
Find the Slope and Y-Intercept (1,-3) , (-1,7)

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