### All SSAT Upper Level Math Resources

## Example Questions

### Example Question #1 : Graphing Linear Functions

Refer to the above red line. A line is drawn perpendicular to that line, and with the same -intercept. Give the equation of that line in slope-intercept form.

**Possible Answers:**

**Correct answer:**

First, we need to find the slope of the above line.

The slope of a line. given two points can be calculated using the slope formula

Set :

The slope of a line perpendicular to it has as its slope the opposite of the reciprocal of 2, which would be . Since we want this line to have the same -intercept as the first line, which is the point , we can substitute and in the slope-intercept form:

### Example Question #2 : Graphing Linear Functions

Refer to the above diagram. If the red line passes through the point , what is the value of ?

**Possible Answers:**

**Correct answer:**

One way to answer this is to first find the equation of the line.

The slope of a line. given two points can be calculated using the slope formula

Set :

The line has slope 3 and -intercept , so we can substitute in the slope-intercept form:

Now substitute 4 for and for and solve for :