-4x-5y>15

Add 4x to both sides of the inequality.

-5y>15+4x

Divide each term by -5 and simplify.

Divide each term in -5y>15+4x by -5. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

-5y-5<15-5+4x-5

Cancel the common factor of -5.

Cancel the common factor.

-5y-5<15-5+4x-5

Divide y by 1.

y<15-5+4x-5

y<15-5+4x-5

Simplify each term.

Divide 15 by -5.

y<-3+4x-5

Move the negative in front of the fraction.

y<-3-4×5

y<-3-4×5

y<-3-4×5

y<-3-4×5

Rewrite in slope-intercept form.

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

y=mx+b

Reorder -3 and -4×5.

y<-4×5-3

Rewrite in slope-intercept form.

y=-45x-3

y=-45x-3

Use the slope-intercept form to find the slope and y-intercept.

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

m=-45

b=-3

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

Slope: -45

y-intercept: -3

Slope: -45

y-intercept: -3

Slope: -45

y-intercept: -3

Graph a dashed line, then shade the area below the boundary line since y is less than -3-4×5.

y<-3-4×5

<div data-graph-input="{"graphs":[{"ascii":"y