y+1>2(x-1)

Simplify 2(x-1).

Apply the distributive property.

y+1>2x+2⋅-1

Multiply 2 by -1.

y+1>2x-2

y+1>2x-2

Move all terms not containing y to the right side of the inequality.

Subtract 1 from both sides of the inequality.

y>2x-2-1

Subtract 1 from -2.

y>2x-3

y>2x-3

y>2x-3

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Find the values of m and b using the form y=mx+b.

m=2

b=-3

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

Slope: 2

y-intercept: -3

Slope: 2

y-intercept: -3

Graph a dashed line, then shade the area above the boundary line since y is greater than 2x-3.

y>2x-3

2x-3","isGrey":false,"dashed":false,"holes":[]}],"asymptotes":[],"segments":[],"areaBetweenCurves":[],"points":[],"HasGraphInput":true}” class=”GraphWrapper”>

Graph y+1>2(x-1)