x-5y=10

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Subtract x from both sides of the equation.

-5y=10-x

Divide each term by -5 and simplify.

Divide each term in -5y=10-x by -5.

-5y-5=10-5+-x-5

Cancel the common factor of -5.

Cancel the common factor.

-5y-5=10-5+-x-5

Divide y by 1.

y=10-5+-x-5

y=10-5+-x-5

Simplify 10-5+-x-5.

Simplify each term.

Divide 10 by -5.

y=-2+-x-5

Dividing two negative values results in a positive value.

y=-2+x5

y=-2+x5

Reorder -2 and x5.

y=x5-2

y=x5-2

y=x5-2

Rewrite in slope-intercept form.

y=15x-2

y=15x-2

Using the slope-intercept form, the slope is 15.

m=15

Find the Slope x-5y=10