Suppose that we wish to find the equation of the horizontal line that passes through the point , as shown below:
Notice that for any -value on the line, the -value is always
Therefore, the equation of the line is
Note: When writing the equation of a horizontal line, we always put the variable on the left side and the constant on the right side.
Identify the equation that corresponds to the graph below.
The graph is a horizontal line where the -value of every point is Consequently, its equation is
What is the equation of the horizontal line shown above?
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a
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$y = -2x$ |
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b
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$y = 2$ |
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c
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$y = x - 2$ |
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d
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$x = -2$ |
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$y = -2$ |
The equation of the line shown above is
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Suppose that we want to find the equation of the vertical line that passes through the point , as shown below:
Notice that for any -value on the line, the -value is always
Therefore, the equation of this vertical line is
Note: When writing the equation of a vertical line, we always put the variable on the left side and the constant on the right side.
Identify the equation that corresponds to the graph below.
The graph is a vertical line where the -value of every point is Consequently, its equation is
The equation of the vertical line shown above is
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Identify the equation that corresponds to the graph above.
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$x = 9y$ |
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$y = 9 - x$ |
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$y = 9$ |
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d
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$y = x + 9$ |
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$x = 9$ |
Which of the plots above shows the following lines?
On the line every point has an -coordinate of Therefore, graph II represents this equation.
On the line every point has an -coordinate of Therefore, graph III represents this equation.
Which of the following shows a plot of the line $y=2?$
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Which of the following shows a plot of the line $x=4?$
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A horizontal line in the -plane passes through the point What is the equation of the line? Does the point lie on that line?
Since the horizontal line passes through , every point on the line has a -coordinate of So, the equation of that line is
The -coordinate of the point is but all points on the line have a -coordinate of So, the point is not on the line.
The point of intersection of the lines $y=-3$ and $x=1$ is
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The equation of the vertical line in the $xy$-plane that passes through the point $(4,3)$ is
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A horizontal line and a vertical line meet at the point $(-5,6).$ What are the equations of the vertical and horizontal lines, respectively?
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$x=-5$, $y=6$ |
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b
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$x=-6$, $y=5$ |
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c
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$x=5$, $y=6$ |
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d
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$x=-5$, $y=-6$ |
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e
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$x=6$, $y=-5$ |
