# How do you graph the inequality #y+4x>=3#?

##### 1 Answer

Sep 4, 2017

See a solution process below:

#### Explanation:

First, solve for two points as an equation instead of an inequality to find the boundary line for the inequality.

**For:**

**For:**

We can now graph the two points on the coordinate plane and draw a line through the points to mark the boundary of the inequality.

The boundary line will be solid because the inequality operator contains a "or equal to" clause.

graph{(x^2+(y-3)^2-0.05)((x-2)^2+(y+5)^2-0.05)(4x+y-3)=0 [-15, 15, -7.5, 7.5]}

Now, we can shade the right side of the line.

graph{(4x+y-3)>=0 [-15, 15, -7.5, 7.510]}