2(x-y)<-5

Divide each term by 2 and simplify.

Divide each term in 2(x-y)<-5 by 2.

2(x-y)2<-52

Cancel the common factor of 2.

Cancel the common factor.

2(x-y)2<-52

Divide x-y by 1.

x-y<-52

x-y<-52

Move the negative in front of the fraction.

x-y<-52

x-y<-52

Subtract x from both sides of the inequality.

-y<-52-x

Multiply each term in -y<-52-x by -1

Multiply each term in -y<-52-x by -1. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

(-y)⋅-1>-52⋅-1+(-x)⋅-1

Multiply (-y)⋅-1.

Multiply -1 by -1.

1y>-52⋅-1+(-x)⋅-1

Multiply y by 1.

y>-52⋅-1+(-x)⋅-1

y>-52⋅-1+(-x)⋅-1

Simplify each term.

Multiply -52⋅-1.

Multiply -1 by -1.

y>1(52)+(-x)⋅-1

Multiply 52 by 1.

y>52+(-x)⋅-1

y>52+(-x)⋅-1

Multiply (-x)⋅-1.

Multiply -1 by -1.

y>52+1x

Multiply x by 1.

y>52+x

y>52+x

y>52+x

y>52+x

y>52+x

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 52 and x.

y>x+52

y>x+52

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=1

b=52

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: 1

y-intercept: 52

Slope: 1

y-intercept: 52

Slope: 1

y-intercept: 52

Graph a dashed line, then shade the area above the boundary line since y is greater than 52+x.

y>52+x

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

Graph 2(x-y)<-5