# Find the Slope and Y-Intercept (-13,-7) , (-19,-11) (-13,-7) , (-19,-11)
Find the value of the slope.
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=-11-(-7)-19-(-13)
Simplify.
Simplify the numerator.
Multiply -1 by -7.
m=-11+7-19-(-13)
Add -11 and 7.
m=-4-19-(-13)
m=-4-19-(-13)
Simplify the denominator.
Multiply -1 by -13.
m=-4-19+13
Add -19 and 13.
m=-4-6
m=-4-6
Cancel the common factor of -4 and -6.
Factor -2 out of -4.
m=-2⋅2-6
Cancel the common factors.
Factor -2 out of -6.
m=-2⋅2-2⋅3
Cancel the common factor.
m=-2⋅2-2⋅3
Rewrite the expression.
m=23
m=23
m=23
m=23
m=23
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(23)x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(23)⋅(-13)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
-7=(23)⋅(-13)+b
Rewrite the equation as (23)⋅(-13)+b=-7.
(23)⋅(-13)+b=-7
Simplify each term.
Multiply (23)(-13).
Combine 23 and -13.
2⋅-133+b=-7
Multiply 2 by -13.
-263+b=-7
-263+b=-7
Move the negative in front of the fraction.
-263+b=-7
-263+b=-7
Move all terms not containing b to the right side of the equation.
Add 263 to both sides of the equation.
b=-7+263
To write -7 as a fraction with a common denominator, multiply by 33.
b=-7⋅33+263
Combine -7 and 33.
b=-7⋅33+263
Combine the numerators over the common denominator.
b=-7⋅3+263
Simplify the numerator.
Multiply -7 by 3.
b=-21+263
Add -21 and 26.
b=53
b=53
b=53
b=53
The values of the slope and y-intercept are m=23 and b=53.
m=23
b=53
Find the Slope and Y-Intercept (-13,-7) , (-19,-11)   ## Download our App from the store

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