All SSAT Upper Level Math Resources
Example Questions
Example Question #1 :How To Find X Or Y Intercept
What is the-intercept of the graph of the function?
The-intercept of the graph of a function is the point at which it intersects the-axis - that is, at which. This point is, so evaluate:
The-intercept is.
Example Question #1 :X And Y Intercept
Give the-intercept, if there is one, of the graph of the equation
The graph has no-intercept.
The graph has no-intercept.
The-intercept is the point at which the graph crosses the-axis; at this point, the-coordinate is 0, so substituteforin the equation:
However, since this expression has 0 in a denominator, it is of undefined value. This means that there is no value ofpaired with-coordinate 0, and, subsequently, the graph of the equation has no-intercept.
Example Question #1 :How To Find X Or Y Intercept
Give the-intercept, if there is one, of the graph of the equation
The graph has no-intercept.
The-intercept is the point at which the graph crosses the-axis; at this point, the-coordinate is 0, so substituteforin the equation:
The-intercept is.
Example Question #4 :How To Find X Or Y Intercept
Give the-intercept, if there is one, of the graph of the equation
.
The graph does not have a-intercept.
The-intercept is the point at which the graph crosses the-axis; at this point, the-coordinate is 0, so substituteforin the equation:
The-intercept is the point.
Example Question #5 :How To Find X Or Y Intercept
A line passes throughand is perpendicular to the line of the equation. Give the-intercept of this line.
The line has no-intercept.
First, find the slope of the second lineby solving foras follows:
The equation is now in the slope-intercept form; the slope of the second line is the-coefficient.
The first line, being perpendicular to the second, has as its slope the opposite of the reciprocal of, which is.
Therefore, we are looking for a line throughwith slope. Using point-slope form
with
,
the equation becomes
.
To find the-intercept, substitute 0 forand solve for:
The-intercept is the point.
Example Question #1 :X And Y Intercept
A line passes throughand is parallel to the line of the equation. Give the-intercept of this line.
The line has no-intercept.
First, find the slope of the second lineby solving foras follows:
The equation is now in the slope-intercept form; the slope of the second line is the-coefficient.
The first line, being parallel to the second, has the same slope.
Therefore, we are looking for a line throughwith slope. Using point-slope form
with
,
the equation becomes
.
To find the-intercept, substitute 0 forand solve for:
The-intercept is the point.
Example Question #7 :How To Find X Or Y Intercept
Give the-intercept of the line with slopethat passes through point.
The line has no-intercept.
By the point-slope formula, this line has the equation
where
By substitution, the equation becomes
To find the-intercept, substitute 0 forand solve for:
The-intercept is the point.
Example Question #8 :How To Find X Or Y Intercept
Give the-intercept of the line that passes through pointsand.
The line has no-intercept.
First, find the slope of the line, using the slope formula
setting:
By the point-slope formula, this line has the equation
where
; the line becomes
or
To find the-intercept, substitute 0 forand solve for:
The-intercept is.
Example Question #9 :How To Find X Or Y Intercept
Give the-intercept of the line that passes through pointsand.
First, find the slope of the line, using the slope formula
setting:
By the point-slope formula, this line has the equation
where
; the line becomes
or
To find the-intercept, substitute 0 forand solve for:
The-intercept is.
Example Question #1 :How To Find X Or Y Intercept
Give the-intercept of the line with slopethat passes through point.
By the point-slope formula, this line has the equation
where
By substitution, the equation becomes
To find the-intercept, substitute 0 forand solve for:
The-intercept is.
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