# Graph -6x+8y<4

-6x+8y<4
Solve for y.
Add 6x to both sides of the inequality.
8y<4+6x
Divide each term by 8 and simplify.
Divide each term in 8y<4+6x by 8.
8y8<48+6×8
Cancel the common factor of 8.
Cancel the common factor.
8y8<48+6×8
Divide y by 1.
y<48+6×8
y<48+6×8
Simplify each term.
Cancel the common factor of 4 and 8.
Factor 4 out of 4.
y<4(1)8+6×8
Cancel the common factors.
Factor 4 out of 8.
y<4⋅14⋅2+6×8
Cancel the common factor.
y<4⋅14⋅2+6×8
Rewrite the expression.
y<12+6×8
y<12+6×8
y<12+6×8
Cancel the common factor of 6 and 8.
Factor 2 out of 6x.
y<12+2(3x)8
Cancel the common factors.
Factor 2 out of 8.
y<12+2(3x)2(4)
Cancel the common factor.
y<12+2(3x)2⋅4
Rewrite the expression.
y<12+3×4
y<12+3×4
y<12+3×4
y<12+3×4
y<12+3×4
y<12+3×4
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 12 and 3×4.
y<3×4+12
Rewrite in slope-intercept form.
y=34x+12
y=34x+12
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=34
b=12
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 34
y-intercept: 12
Slope: 34
y-intercept: 12
Slope: 34
y-intercept: 12
Graph a dashed line, then shade the area below the boundary line since y is less than 12+3×4.
y<12+3×4
<div data-graph-input="{"graphs":[{"ascii":"y
Graph -6x+8y<4

Scroll to top