# SSAT Upper Level Math : Lines

## Example Questions

### Example Question #291 : Ssat Upper Level Quantitative (Math)

Find the equation of the line that passes through  and .

Explanation:

First, notice that our -intercept for this line is ; we can tell this because one of the points, , is on the -axis since it has a value of  for

Now, we need to find the slope of the line. We can do that by using the slope equation:

We can substitute in the values of the provided points—, and —and then solve for the slope of the line that connects them:

Now, put the two pieces of information together and substitute them into the  equation to solve the problem:

### Example Question #21 : Lines

One end of a board that is four feet long is on the ground. The other end is balanced on a box that is one foot tall, creating a slope. What is the slope of the board?

Explanation:

The slope of a line is equal to

Given that the box is one foot tall, the rise will be equal to "1."

Given that the board is four feet long, the run will be equal to "4."

Therefore, the slope is equal to .

### Example Question #22 : Lines

A line is given with the equation . What is the slope of this line?

Explanation:

To find the slope, put the equation in  form.

Since , that must be the slope of the line.

### Example Question #3 : How To Find Slope Of A Line

A line has the equation . What is the slope of the line?

Explanation:

Change the equation into the more familiar  form. The value of  will be the slope.

### Example Question #23 : Lines

What is the slope of a line that passes through the points ?

Explanation:

Use the following formula to find the slope:

Plug in the given points to find the slope.

### Example Question #24 : Lines

Find the slope of the line that passes through the points

Explanation:

Use the following formula to find the slope:

### Example Question #25 : Lines

Find the slope of the line that passes through the points

Explanation:

Use the following formula to find the slope:

### Example Question #26 : Lines

Find the slope of the line that passes through the points .

Explanation:

Use the following formula to find the slope:

### Example Question #27 : Lines

Find the slope of the line that passes through the points

Explanation:

Use the following formula to find the slope:

### Example Question #9 : How To Find Slope Of A Line

Find the slope of the line that passes through the points  and .