10x-5y=-30
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Subtract 10x from both sides of the equation.
-5y=-30-10x
Divide each term by -5 and simplify.
Divide each term in -5y=-30-10x by -5.
-5y-5=-30-5+-10x-5
Cancel the common factor of -5.
Cancel the common factor.
-5y-5=-30-5+-10x-5
Divide y by 1.
y=-30-5+-10x-5
y=-30-5+-10x-5
Simplify -30-5+-10x-5.
Simplify each term.
Divide -30 by -5.
y=6+-10x-5
Cancel the common factor of -10 and -5.
Factor -5 out of -10x.
y=6+-5(2x)-5
Cancel the common factors.
Factor -5 out of -5.
y=6+-5(2x)-5(1)
Cancel the common factor.
y=6+-5(2x)-5⋅1
Rewrite the expression.
y=6+2×1
Divide 2x by 1.
y=6+2x
y=6+2x
y=6+2x
y=6+2x
Reorder 6 and 2x.
y=2x+6
y=2x+6
y=2x+6
y=2x+6
Using the slope-intercept form, the slope is 2.
m=2
Find the Slope 10x-5y=-30