# Graph -4x-5y>15 -4x-5y>15
Solve for y.
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
Find the slope and the y-intercept for the boundary line.
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
Graph -4x-5y>15     