Question
Write an equation of a line that passes through the given line and is perpendicular to the given line.
Hint:
- Perpendicular lines are lines that intersect at a right angle.
The correct answer is: y = -5/4x + 8
- We have to write an equation of a line that passes through the given line and is perpendicular to the given line.
Step 1 of 1:
We have to find a line passes through a point (4, 3) and perpendicular to a line 4x - 5y = 30
Since product of two perpendicular lines is equal to -1.
So,
Therefore the equation of the line will be
Therefore the equation of the line will be
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Let's say that r is a rational function.
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When will the graph of a rational function have no vertical asymptotes ? Give an example of such a function.
Let's say that r is a rational function.
Identify R's domain.
If necessary, reduce r(x) to its simplest form.
Find the x- and y-intercepts of the y=r(x) graph if one exists.
If the graph contains any vertical asymptotes or holes, locate where they are.
Then, identify and, if necessary, analyze r's behavior on each side of the vertical asymptotes.
Investigate R's final behavior. If one exists, locate the horizontal or slant asymptote.
The graph of y=r(x) can be drawn using a sign diagram and additional points if necessary.