# GED Math : Coordinate Geometry

## Example Questions

### Example Question #31 : Coordinate Geometry

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

Explanation:

Recall the how to find the slope of a line:

Plug in the given points.

Simplify to find the slope.

### Example Question #21 : Slope

What is the slope of the line that goes through the points  and ?

Explanation:

Recall how to find the slope of a line:

Plug in the given points to find the slope.

The line has a slope of .

### Example Question #23 : Slope

Find the slope of the line connecting the following points.

Explanation:

Find the slope of the line connecting the following points.

To find slope, use the following formula.

Remember, slope is rise over run.

Now, let's plug and chug to get our answer.

### Example Question #741 : Geometry And Graphs

What is the slope of the graph?

0

Explanation:

Slope is  .

We can pick any two points on the graph and count the rise and run. This graph goes through (0,0), so lets pick that point. It also looks like (2,3) is on the graph.

So, from (0,0) to (2,3), you go up 3, and over 2.

This makes our slope

### Example Question #25 : Slope

Find the slope of the line connecting the points  and .

Explanation:

Find the slope of the line connecting the points  and .

To find our slope, we need to recall "Rise over Run." This can also be thought of as change in y over change in x.

Now, all we need to do is plug in our points and solve. It doesn't matter which pairs are x and which are y, but we must keep it consistent.

Now let's simplify:

So, we get  which cannot be reduced, so we are all set!

### Example Question #31 : Coordinate Geometry

What is the slope of the line perpendicular to the line running between the points  and ?

Explanation:

Recall that slope is calculated as:

This could be represented, using your two points, as:

Based on your data, this would be:

Remember, the question asks for the slope that is perpendicular to this slope! Don't forget this point! The perpendicular slope is opposite and reciprocal.

Therefore, it is:

### Example Question #1 : X Intercept And Y Intercept

Which of the following equations has as its graph a line with -intercept 9?

Explanation:

The equation in which  when  is graphed by a line that includes point  - that is, its -intercept is 9. Therefore, substitute 0 for  in each equation and solve for

The correct choice is , since  is a solution of this equation.

### Example Question #1 : X Intercept And Y Intercept

Which of the following equations has as its graph a line with -intercept ?

Explanation:

The equation in which  when  is graphed by a line that includes point  - that is, its -intercept is . Therefore, substitute 0 for  in each equation and solve for

The correct choice is , since  is a solution of this equation.

### Example Question #1 : X Intercept And Y Intercept

Find the  and -intercepts of the following equation:

Explanation:

To find the , we need to set  equal to 0 in our equation:

Now solve for :

To find the , we need to set  equal to 0 in our equation:

Now solve for :

### Example Question #32 : Coordinate Geometry

Find the  and -intercepts for the following equation: