Lots of point up for grabs
2 answers:
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Given:
Points on the line are (5, 7) and (5, -5).
To find:
Equation of a line parallel to line l.
Solution:
Let us first find the slope of line l.
Slope of the line formula:
m = undefined
The line intersects at x-axis, so the y-intercept is 0.
Equation of line l is x = 5.
<em>If two lines are parallel, then their slopes are equal.</em>
In the option, find the line which also have slope undefined.
Option A: x = 5y
Divide by 5 on both sides, we get
Here slope is . So it is not parallel to line l.
Option B: x = -2
Here, the slope is undefined. It also passes through the x-axis.
Therefore, it is parallel to line l.
Option C: y = 5
Here, the line passes through y-axis.
So, it is not parallel to line l.
Option D: y = -5x.
Here, the slope is -5.
So, it is not parallel to line l.
Hence x = -2 is and equation for a line that is parallel to line l in the graph.