# Intermediate Geometry : How to find x or y intercept

## Example Questions

### Example Question #51 : X And Y Intercept

Find the x-intercept of the line .

Explanation:

Recall that an x-intercept occurs when the line crosses the x-axis. Thus, the y-coordinate of the x-intercept must be .

Plug in  for the y-value.

The x-intercept is located at .

### Example Question #52 : X And Y Intercept

Find the x-intercept for the line .

Explanation:

Recall that an x-intercept occurs when the line crosses the x-axis. Thus, the y-coordinate of the x-intercept must be .

Plug in  for the y-value.

The x-intercept is located at .

### Example Question #271 : Coordinate Geometry

Find the y-intercept of the line .

Explanation:

Recall that at the y-intercept, the line crosses the y-axis. This means that at the y-intercept, the value of the x-coordinate is .

Plug in  for  into the equation to find the y-intercept.

The y-intercept for this line is .

### Example Question #53 : X And Y Intercept

Find the y-intercept of the line .

Explanation:

Recall that at the y-intercept, the line crosses the y-axis. This means that at the y-intercept, the value of the x-coordinate is .

Plug in  for  into the equation to find the y-intercept.

The y-intercept for this line is .

### Example Question #55 : X And Y Intercept

Find the y-intercept of the line .

Explanation:

Recall that at the y-intercept, the line crosses the y-axis. This means that at the y-intercept, the value of the x-coordinate is .

Plug in  for  into the equation to find the y-intercept.

The y-intercept for this line is .

### Example Question #56 : X And Y Intercept

Find the y-intercept of the line .

Explanation:

Recall that at the y-intercept, the line crosses the y-axis. This means that at the y-intercept, the value of the x-coordinate is .

Plug in  for  into the equation to find the y-intercept.

The y-intercept for this line is .

### Example Question #54 : X And Y Intercept

Given the following table of a linear function, find the y-intercept.

 x f(x) -2 -59 4 91 6 141 12 291

Explanation:

Start by taking a pair of points and find the slope of the line.

Next, re-write the equation in point-slope form.

Rewrite this equation so that it is in slope-intercept form.

The y-intercept for this line is .

### Example Question #55 : X And Y Intercept

Given the following table of a linear function, find the y-intercept.

 x f(x) -3 -6 -1 4 2 19 4 29

Explanation:

Start by taking a pair of points and find the slope of the line.

Next, re-write the equation in point-slope form.

Rewrite this equation so that it is in slope-intercept form.

The y-intercept for this line is .

### Example Question #59 : X And Y Intercept

Find the y-intercept of a line that has a slope of  and goes through the point .

Explanation:

Recall the point-slope form of the equation of a line that has a slope of  and passes through the point :

Plug in the given point and the given slope.

Rearrange the equation into slope-intercept form.

The y-intercept for this line is .

### Example Question #1561 : Intermediate Geometry

Find the y-intercept of a line that goes through the point  and has a slope of .

Explanation:

Recall the point-slope form of the equation of a line that has a slope of  and passes through the point :

Plug in the given point and the given slope.

Rearrange the equation into slope-intercept form.

The y-intercept for this line is .