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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$y = x - 2$ |
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c
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$y = 2$ |
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d
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$x = -2$ |
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e
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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 in standard form that corresponds to the graph below.
The graph is a vertical line where the -value of every point is Consequently, its equation is
In standard form, 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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$y = 9$ |
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$x = 9$ |
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$y = x + 9$ |
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d
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$y = 9 - x$ |
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e
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$x = 9y$ |
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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$x=5$, $y=6$ |
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c
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$x=6$, $y=-5$ |
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d
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$x=-6$, $y=5$ |
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e
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$x=-5$, $y=6$ |
