# Find the Slope and Y-Intercept (-1,-13) , (-14,-17) (-1,-13) , (-14,-17)
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=-17-(-13)-14-(-1)
Simplify.
Simplify the numerator.
Multiply -1 by -13.
m=-17+13-14-(-1)
m=-4-14-(-1)
m=-4-14-(-1)
Simplify the denominator.
Multiply -1 by -1.
m=-4-14+1
m=-4-13
m=-4-13
Dividing two negative values results in a positive value.
m=413
m=413
m=413
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(413)x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(413)⋅(-1)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
-13=(413)⋅(-1)+b
Rewrite the equation as (413)⋅(-1)+b=-13.
(413)⋅(-1)+b=-13
Simplify each term.
Multiply (413)(-1).
Combine 413 and -1.
4⋅-113+b=-13
Multiply 4 by -1.
-413+b=-13
-413+b=-13
Move the negative in front of the fraction.
-413+b=-13
-413+b=-13
Move all terms not containing b to the right side of the equation.
Add 413 to both sides of the equation.
b=-13+413
To write -13 as a fraction with a common denominator, multiply by 1313.
b=-13⋅1313+413
Combine -13 and 1313.
b=-13⋅1313+413
Combine the numerators over the common denominator.
b=-13⋅13+413
Simplify the numerator.
Multiply -13 by 13.
b=-169+413
b=-16513
b=-16513
Move the negative in front of the fraction.
b=-16513
b=-16513
b=-16513
The values of the slope and y-intercept are m=413 and b=-16513.
m=413
b=-16513
Find the Slope and Y-Intercept (-1,-13) , (-14,-17)     