x and y Intercept
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ACT Math › x and y Intercept
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.
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
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:
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.
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
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:
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:
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:
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)
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)