3x+4y=-5

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

y=mx+b

Subtract 3x from both sides of the equation.

4y=-5-3x

Divide each term by 4 and simplify.

Divide each term in 4y=-5-3x by 4.

4y4=-54+-3×4

Cancel the common factor of 4.

Cancel the common factor.

4y4=-54+-3×4

Divide y by 1.

y=-54+-3×4

y=-54+-3×4

Simplify each term.

Move the negative in front of the fraction.

y=-54+-3×4

Move the negative in front of the fraction.

y=-54-3×4

y=-54-3×4

y=-54-3×4

Reorder -54 and -3×4.

y=-3×4-54

Rewrite in slope-intercept form.

y=-34x-54

y=-34x-54

Write in Slope-Intercept Form 3x+4y=-5