5x-3y=-15

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=-15-5x

Divide each term by -3 and simplify.

Divide each term in -3y=-15-5x by -3.

-3y-3=-15-3+-5x-3

Cancel the common factor of -3.

Cancel the common factor.

-3y-3=-15-3+-5x-3

Divide y by 1.

y=-15-3+-5x-3

y=-15-3+-5x-3

Simplify -15-3+-5x-3.

Simplify each term.

Divide -15 by -3.

y=5+-5x-3

Dividing two negative values results in a positive value.

y=5+5×3

y=5+5×3

Reorder 5 and 5×3.

y=5×3+5

y=5×3+5

y=5×3+5

Rewrite in slope-intercept form.

y=53x+5

y=53x+5

Find the values of m and b using the form y=mx+b.

m=53

b=5

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: 53

y-intercept: 5

Slope: 53

y-intercept: 5

Find the Slope and Y-Intercept 5x-3y=-15