6x+5y>-2

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

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

-(2)/(5)-(6x)/(5)","isGrey":false,"dashed":false,"holes":[]}],"asymptotes":[],"segments":[],"areaBetweenCurves":[],"points":[],"HasGraphInput":true}” class=”GraphWrapper”>

Graph 6x+5y>-2