# Graph -4x-3y>12

-4x-3y>12
Solve for y.
Add 4x to both sides of the inequality.
-3y>12+4x
Divide each term by -3 and simplify.
Divide each term in -3y>12+4x by -3. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
-3y-3<12-3+4x-3
Cancel the common factor of -3.
Cancel the common factor.
-3y-3<12-3+4x-3
Divide y by 1.
y<12-3+4x-3
y<12-3+4x-3
Simplify each term.
Divide 12 by -3.
y<-4+4x-3
Move the negative in front of the fraction.
y<-4-4×3
y<-4-4×3
y<-4-4×3
y<-4-4×3
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 -4 and -4×3.
y<-4×3-4
Rewrite in slope-intercept form.
y=-43x-4
y=-43x-4
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=-43
b=-4
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -43
y-intercept: -4
Slope: -43
y-intercept: -4
Slope: -43
y-intercept: -4
Graph a dashed line, then shade the area below the boundary line since y is less than -4-4×3.
y<-4-4×3
<div data-graph-input="{"graphs":[{"ascii":"y
Graph -4x-3y>12