0.3x+0.4y>0.4

Subtract 0.3x from both sides of the inequality.

0.4y>0.4-0.3x

Divide each term by 0.4 and simplify.

Divide each term in 0.4y>0.4-0.3x by 0.4.

0.4y0.4>0.40.4+-0.3×0.4

Cancel the common factor of 0.4.

y>0.40.4+-0.3×0.4

Simplify each term.

Divide 0.4 by 0.4.

y>1+-0.3×0.4

Move the negative in front of the fraction.

y>1-(0.3)x0.4

Factor 0.3 out of 0.3x.

y>1-0.3(x)0.4

Factor 0.4 out of 0.4.

y>1-0.3(x)0.4(1)

Separate fractions.

y>1-(0.30.4⋅x1)

Divide 0.3 by 0.4.

y>1-(0.75×1)

Divide x by 1.

y>1-(0.75x)

Multiply 0.75 by -1.

y>1-0.75x

y>1-0.75x

y>1-0.75x

y>1-0.75x

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 1 and -0.75x.

y>-0.75x+1

y>-0.75x+1

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=-0.75

b=1

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

Slope: -0.75

y-intercept: 1

Slope: -0.75

y-intercept: 1

Slope: -0.75

y-intercept: 1

Graph a dashed line, then shade the area above the boundary line since y is greater than 1-0.75x.

y>1-0.75x

1-0.75x","isGrey":false,"dashed":false,"holes":[]}],"asymptotes":[],"segments":[],"areaBetweenCurves":[],"points":[],"HasGraphInput":true}” class=”GraphWrapper”>

Graph 0.3x+0.4y>0.4