# How do you find the slope and y intercept and graph #2x+3y=-6#?

##### 2 Answers

**Answer**

Slope:

y-intercept:

**Explanation**

There are two simple ways to solve this problem:

1) Algebra

2) Graphing

Let's look at both

1) We can turn the question into the slope-intercept

We have to solve for

We need

Now, we just have to divide by

So in

2) We can also graph this function and observe.

graph{-2/3x-2 [-10, 10, -5, 5]}

As you can see, the line intersects the y-axis at

Solve

Subtract

Divide both sides by 3.

Determine two points on the line.

If

Point =

If

Point =

Plot the points and draw a straight line through the two points.

graph{y=-2/3x-2 [-14.24, 14.23, -7.12, 7.12]}