How do you graph the inequality 4x+6y10?

1 Answer
Oct 18, 2015

Refer to the explanation.

Explanation:

4x+6y10 is in the standard form for a linear equation. Solve for y to convert to the slope-intercept form, y=mx+b, where m is the slope and b is the y-intercept.

4x+6y10

Subtract 4x from both sides.

6y104x

Divide both sides by 6.

y10646x

Simplify.

y5323x

Rearrange.

y23x+53

Determine 2 points on the line. Then plot the points and draw a straight solid line through the points to indicate that the line is part of the graph. Then shade the graph above the line.

x=0, y=53

x=2, y=13

graph{y>=-2/3x+5/3 [-10, 10, -5, 5]}