# Find the Slope and Y-Intercept (-14,0) , (-16,5) (-14,0) , (-16,5)
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=5-(0)-16-(-14)
Simplify.
Simplify the numerator.
Multiply -1 by 0.
m=5+0-16-(-14)
m=5-16-(-14)
m=5-16-(-14)
Simplify the denominator.
Multiply -1 by -14.
m=5-16+14
m=5-2
m=5-2
Move the negative in front of the fraction.
m=-52
m=-52
m=-52
Find the value of the y-intercept.
Substitute the value of m into the slope-intercept form of the equation, y=mx+b.
y=(-52)⋅x+b
Substitute the value of x into the slope-intercept form of the equation, y=mx+b.
y=(-52)⋅(-14)+b
Substitute the value of y into the slope-intercept form of the equation, y=mx+b.
0=(-52)⋅(-14)+b
Rewrite the equation as (-52)⋅(-14)+b=0.
(-52)⋅(-14)+b=0
Simplify each term.
Cancel the common factor of 2.
Move the leading negative in -52 into the numerator.
-52⋅-14+b=0
Factor 2 out of -14.
-52⋅(2(-7))+b=0
Cancel the common factor.
-52⋅(2⋅-7)+b=0
Rewrite the expression.
-5⋅-7+b=0
-5⋅-7+b=0
Multiply -5 by -7.
35+b=0
35+b=0
Subtract 35 from both sides of the equation.
b=-35
b=-35
The values of the slope and y-intercept are m=-52 and b=-35.
m=-52
b=-35
Find the Slope and Y-Intercept (-14,0) , (-16,5)     