# GED Math : X-intercept and y-intercept

## Example Questions

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

Determine the x-intercept of the following:

Explanation:

The x-intercept is the value of  when .

Substitute  into the given equation.

Add 6 on both sides.

Divide by 5 on both sides.

### Example Question #12 : X Intercept And Y Intercept

What is the x-intercept of the following equation?

Explanation:

The x-intercept is the value of  when .  Substitute the value for y.

Add one on both sides.

Divide by three on both sides.

### Example Question #13 : X Intercept And Y Intercept

What is the y-intercept given the following function?

Explanation:

The following equation is already written in slope-intercept form.

The y-intercept is the variable .

Since the value is absent, the y-intercept is zero.

### Example Question #14 : X Intercept And Y Intercept

Find the x-intercept of the line with the equation .

Explanation:

Recall that at the x-intercept, the y-coordinate will be . Thus, plug in  for  in the given equation.

The coordinates of the x-intercept is located at .

### Example Question #15 : X Intercept And Y Intercept

Find the x-intercept of the following equation:

Explanation:

Find the x-intercept of the following equation:

The x-intercept is the point where the line crosses the x-axis. At this point, the y-value must be 0.

To find the x-intercept, plug in "0" for y and solve for x.

Now finish up by dividing by 2:

We can check our answer by plugging it back into our equation:

Everything looks good, so our answer is -8.5

### Example Question #16 : X Intercept And Y Intercept

The following points lie on a line.

What is the equation of the line?

Explanation:

Start by finding the slope of the line by using any two points.

Recall how to find the slope of a line:

Using the points , we can find the slope.

Now, we can write the following equation:

To find the value of , the y-intercept, plug in any point into the equation above. Using the point , we can write the following equation:

Thus, the complete equation for this line is .

### Example Question #17 : X Intercept And Y Intercept

Find the x intercept of the following linear equation.

Explanation:

Find the x intercept of the following linear equation.

x intercepts occur when y=0, in other words, when we have no height.

So, plug in 0 for y and solve for x

So our x intercept is negative one half.

### Example Question #18 : X Intercept And Y Intercept

Find the y intercept of the following linear equation.