x and y Intercept

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ACT Math › x and y Intercept

Questions 1 - 10
1

What is the x-intercept of the line in the standard coordinate plane for the following equation?

-24

2

3

12

Explanation

This question is asking us to find the x-intercept. Remember that the y-value is equal to zero at the x-intercept. Substitute zero in for the y-variable in the equation and solve for the x-variable.

Add 2 to both sides of the equation.

Divide both sides of the equation by 6.

The line crosses the x-axis at 2.

2

What is the x-intercept of the following line?

y = –3_x_ + 12

4

1/4

–4

–1/4

2

Explanation

The x-intercept occurs when the y-coordinate = 0.

y = –3_x_ + 12

0 = –3_x_ + 12

3_x_ = 12

x = 12/3 = 4

3

What is the and intercepts of the linear equation given by:
?

Explanation

To find the and intercept of a linear equation, find the points where and are equal to zero.

To do this, plug in zero for either variable and then solve for the other.

this yields:

4

What is the x-intercept of the line in the standard coordinate plane for the following equation?

-24

2

3

12

Explanation

This question is asking us to find the x-intercept. Remember that the y-value is equal to zero at the x-intercept. Substitute zero in for the y-variable in the equation and solve for the x-variable.

Add 2 to both sides of the equation.

Divide both sides of the equation by 6.

The line crosses the x-axis at 2.

5

What is the x-intercept of the following line?

y = –3_x_ + 12

4

1/4

–4

–1/4

2

Explanation

The x-intercept occurs when the y-coordinate = 0.

y = –3_x_ + 12

0 = –3_x_ + 12

3_x_ = 12

x = 12/3 = 4

6

What is the and intercepts of the linear equation given by:
?

Explanation

To find the and intercept of a linear equation, find the points where and are equal to zero.

To do this, plug in zero for either variable and then solve for the other.

this yields:

7

What is the -intercept of the following linear equation:
?

Give your answer as an ordered pair.

Explanation

The x-intercept is the value of the linear equation with y = 0 (this means the line will be on the x-axis when y is zero).

Thus we plug 0 in for y and solve for x.

.

Now put it in an ordered pair, remember y = 0:

8

What is the -intercept of the following linear equation:
?

Give your answer as an ordered pair.

Explanation

The x-intercept is the value of the linear equation with y = 0 (this means the line will be on the x-axis when y is zero).

Thus we plug 0 in for y and solve for x.

.

Now put it in an ordered pair, remember y = 0:

9

What are the y and x intercepts of the given equation, respectively?

y = 2x – 2

(0, –2), (1, 0)

(0, –2), (2, 0)

(0, 2), (2, 0)

(0, –2), (–2, 0)

(0, 0), (0, 0)

Explanation

The equation is already in slope-intercept form. The y-intercept is (0, –2). Plug in 0 for y and we get the x intercept of (1, 0)

10

What are the y and x intercepts of the given equation, respectively?

y = 2x – 2

(0, –2), (1, 0)

(0, –2), (2, 0)

(0, 2), (2, 0)

(0, –2), (–2, 0)

(0, 0), (0, 0)

Explanation

The equation is already in slope-intercept form. The y-intercept is (0, –2). Plug in 0 for y and we get the x intercept of (1, 0)

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