# Graph 6x+5y>-2

6x+5y>-2
Solve for y.
Subtract 6x from both sides of the inequality.
5y>-2-6x
Divide each term by 5 and simplify.
Divide each term in 5y>-2-6x by 5.
5y5>-25+-6×5
Cancel the common factor of 5.
Cancel the common factor.
5y5>-25+-6×5
Divide y by 1.
y>-25+-6×5
y>-25+-6×5
Simplify each term.
Move the negative in front of the fraction.
y>-25+-6×5
Move the negative in front of the fraction.
y>-25-6×5
y>-25-6×5
y>-25-6×5
y>-25-6×5
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 -25 and -6×5.
y>-6×5-25
Rewrite in slope-intercept form.
y=-65x-25
y=-65x-25
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=-65
b=-25
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -65
y-intercept: -25
Slope: -65
y-intercept: -25
Slope: -65
y-intercept: -25
Graph a dashed line, then shade the area above the boundary line since y is greater than -25-6×5.
y>-25-6×5
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Graph 6x+5y>-2