X-intercept and y-intercept
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SAT Subject Test in Math II › X-intercept and y-intercept
Find the x-intercept of the following equation:
Explanation
In order to find the x-intercept, set y=0 then solve for x. For this equation that looks as follows:
Subtract 2x from both sides, then divide by -2 to get x by itself:
This gives a final answer of x=-3
Find the x-intercept of the following equation:
Explanation
In order to find the x-intercept, set y=0 then solve for x. For this equation that looks as follows:
Divide by 2 to get x by itself:
This gives a final answer of x=6
What is the y-intercept of the following equation?
Explanation
Rewrite the equation in slope-intercept form:
Our objective is to determine the value of , which represents the y-intercept.
Add two on both sides.
Divide by 2 on both sides.
The value of .
Find the x-intercept of the following equation:
Explanation
In order to find the x-intercept, set y=0 then solve for x. For this equation that looks as follows:
Subtract 4x from both sides, then divide by -4 to get x by itself:
This gives a final answer of x=4
Define .
Give the -coordinate of the
-intercept of the graph of
(nearest hundredth).
The graph of has no
-intercept.
Explanation
Evaluate :
A negative number cannot have a logarithm, so is an undefined expression. Therefore, the graph of
has no
-intercept.
What is the x-intercept of the equation ?
Explanation
The x-intercept is the value of x when .
Add two on both sides, and then divide both sides by three.
The answer is:
Define
Give the -coordinate of the
-intercept of the graph of
(nearest hundredth).
The graph of has no
-intercept.
Explanation
Evaluate :
What is the x-intercept and y-intercept of:
x-intercept= 4
y-intercept= -8
x-intercept=-8
y-intercept=4
x-intercept=2
y-intercept=-4
x-intercept = 1
y-intercept = -2
Explanation
The x-intercept is the value of x that will result in the y value equalling zero and the y-intercept is the y value that results when the x equals zero.
Therefore we replace x with zero to find the y-intecerpt.
Now we replace the y with a zero and find our x-intercept
Define
Give the -coordinate of the
-intercept of the graph of
(nearest hundredth).
The graph of has no
-intercept.
Explanation
Set and solve for
:
Find the intercept of the function.
Explanation
The function will cross the x axis when the y coordinate is equal to zero. To find the x intercept plug in the value zero for y and then solve the equation for x. This will be the x coordinate where the function crosses the x-axis, or the x intercept.