Geometry › x and y Intercept
Find the x-intercept of the line .
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 .
Find the y-intercept of the line .
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 .
Find the x-intercept of the line .
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 .
What is the y-intercept of the line with the equation ?
You should recognize that the given equation is in the point-slope form.
In order to find the y-intercept, rearrange the equation into slope-intercept form, .
Since, , the y-intercept must be located at
What is the y-intercept of the line with the equation ?
You should recognize that the given equation is in the point-slope form.
In order to find the y-intercept, rearrange the equation into slope-intercept form, .
Since, , the y-intercept must be located at
Find the y-intercept of the line .
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 .
Find the x-intercept(s) for the circle
The circle never intersects the x-axis
The x-intercepts of any curve are the x-values where the curve is intersecting the x-axis. This happens when y = 0. To figure out these x-values, plug in 0 for y in the original equation and solve for x:
adding 0 or 0 square doesn't change the value
take the square root of both sides
this means there are two different potential values for x, and we will have to solve for both. First:
add 4 to both sides
Second: again, add 4 to both sides
Our two answers are and
.
Find the x-intercept for the line .
Start by putting the equation into form, where
is the slope, and
is the y-intercept.
By definition, the x-intercept is where the line crosses the x-axis. As such, the y-coordinate of this point must be .
Plug in for
in the equation for this line.
Now, solve for .
The x-intercept is found at .
Find the x-intercept for the line
.
To find the x-intercept, plug in 0 for y, since the x-axis is where y = 0
subtract 5 from both sides
multiply both sides by -3
The x-intercept is
Find the x-intercept(s) for the circle
The circle never intersects the x-axis
The x-intercepts of any curve are the x-values where the curve is intersecting the x-axis. This happens when y = 0. To figure out these x-values, plug in 0 for y in the original equation and solve for x:
adding 0 or 0 square doesn't change the value
take the square root of both sides
this means there are two different potential values for x, and we will have to solve for both. First:
add 4 to both sides
Second: again, add 4 to both sides
Our two answers are and
.