5x-3y=24

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

y=mx+b

Subtract 5x from both sides of the equation.

-3y=24-5x

Divide each term by -3 and simplify.

Divide each term in -3y=24-5x by -3.

-3y-3=24-3+-5x-3

Cancel the common factor of -3.

Cancel the common factor.

-3y-3=24-3+-5x-3

Divide y by 1.

y=24-3+-5x-3

y=24-3+-5x-3

Simplify 24-3+-5x-3.

Simplify each term.

Divide 24 by -3.

y=-8+-5x-3

Dividing two negative values results in a positive value.

y=-8+5×3

y=-8+5×3

Reorder -8 and 5×3.

y=5×3-8

y=5×3-8

y=5×3-8

Rewrite in slope-intercept form.

y=53x-8

y=53x-8

Rewrite in Slope-Intercept Form 5x-3y=24