### All PSAT Math Resources

## Example Questions

### Example Question #1 : How To Find X Or Y Intercept

Determine the y-intercept of the following line:

**Possible Answers:**

**Correct answer:**

The y-intercept occurs when

### Example Question #2 : How To Find X Or Y Intercept

At what point does the graph cross the -axis?

**Possible Answers:**

**Correct answer:**

The graph crosses the -axis where . So plugging in and solving yields .

### Example Question #21 : Arcs And Intercept

Find the x-intercepts of .

**Possible Answers:**

**Correct answer:**

To find the x-intercepts, plug into the equation and solve for .

Don't forget that there are two solutions, both negative and positive!

### Example Question #11 : How To Find X Or Y Intercept

A line with the exquation passes through the point . What is the -intercept?

**Possible Answers:**

**Correct answer:**

By plugging in the coordinate, we can figure out that . The -Intercept is when , plugging in 0 for gives us .

### Example Question #11 : How To Find X Or Y Intercept

What are the -intercept(s) of the following line:

**Possible Answers:**

**Correct answer:**

We can factor and set equal to zero to determine the -intercepts.

satisfies this equation.

Therefore our -intercepts are and .

### Example Question #592 : Sat Mathematics

Which of the following lines does not intersect the line ?

**Possible Answers:**

**Correct answer:**

Parallel lines never intersect, so you are looking for a line that has the same slope as the one given. The slope of the given line is –4, and the slope of the line in *y* = –4*x* + 5 is –4 as well. Since these two lines have equal slopes, they will run parallel and can never intersect.

### Example Question #22 : How To Find X Or Y Intercept

Where does the line given by intercept the -axis?

**Possible Answers:**

**Correct answer:**

First, put in slope-intercept form.

.

To find the -intercept, set and solve for .

### Example Question #11 : X And Y Intercept

Find the y-intercept of .

**Possible Answers:**

12

3

14

5

7

**Correct answer:**

7

To find the y-intercept, set x equal to zero and solve for y.

This gives y = 3(0)^{2} + 2(0) +7 = 7.

### Example Question #11 : How To Find X Or Y Intercept

The slope of a line is . The line passes through . What is the x-intercept?

**Possible Answers:**

None of the available answers

**Correct answer:**

The equation for a line is:

, or in this case

We can solve for by plugging in the values given

Our line is now

Our x-intercept occurs when , so plugging in and solving for :

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