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