Graph 2y-x<-8

Math
2y-x<-8
Solve for y.
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Add x to both sides of the inequality.
2y<-8+x
Divide each term by 2 and simplify.
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Divide each term in 2y<-8+x by 2.
2y2<-82+x2
Cancel the common factor of 2.
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Cancel the common factor.
2y2<-82+x2
Divide y by 1.
y<-82+x2
y<-82+x2
Divide -8 by 2.
y<-4+x2
y<-4+x2
y<-4+x2
Find the slope and the y-intercept for the boundary line.
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Rewrite in slope-intercept form.
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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 x2.
y<x2-4
Rewrite in slope-intercept form.
y=12x-4
y=12x-4
Use the slope-intercept form to find the slope and y-intercept.
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Find the values of m and b using the form y=mx+b.
m=12
b=-4
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 12
y-intercept: -4
Slope: 12
y-intercept: -4
Slope: 12
y-intercept: -4
Graph a dashed line, then shade the area below the boundary line since y is less than -4+x2.
y<-4+x2
<div data-graph-input="{"graphs":[{"ascii":"y
Graph 2y-x<-8

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