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.

3y3=-153+-5×3

Cancel the common factor of 3.

Cancel the common factor.

3y3=-153+-5×3

Divide y by 1.

y=-153+-5×3

y=-153+-5×3

Simplify -153+-5×3.

Simplify each term.

Divide -15 by 3.

y=-5+-5×3

Move the negative in front of the fraction.

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