(-6,0) , (0,5)
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 -6.
Add 0 and 6.
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 (56)⋅(-6)+b=0.
Simplify each term.
Cancel the common factor of 6.
Factor 6 out of -6.
Cancel the common factor.
Rewrite the expression.
Multiply 5 by -1.
Add 5 to both sides of the equation.
The values of the slope and y-intercept are m=56 and b=5.
Find the Slope and Y-Intercept (-6,0) , (0,5)