# Graph x+2y<8 x+2y<8
Solve for y.
Subtract x from both sides of the inequality.
2y<8-x
Divide each term by 2 and simplify.
Divide each term in 2y<8-x by 2.
2y2<82+-x2
Cancel the common factor of 2.
Cancel the common factor.
2y2<82+-x2
Divide y by 1.
y<82+-x2
y<82+-x2
Simplify each term.
Divide 8 by 2.
y<4+-x2
Move the negative in front of the fraction.
y<4-x2
y<4-x2
y<4-x2
y<4-x2
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 -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.
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
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Graph x+2y<8     