hauntedray
hauntedray hauntedray
  • 28-12-2020
  • Mathematics
contestada

"What is the equation of the line parallel to the given line with an x-intercept of 4?"
y = __x + __​

What is the equation of the line parallel to the given line with an xintercept of 4y x class=

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reguser315
reguser315 reguser315
  • 28-12-2020
Parallel lines have the same slope, so the slope of this new line is 4.

In the form y=mx+b, m is the slope, so the slope of this new line is y=4x+b.

The x intercept is 4, which is the coordinate (4,0). So plug that in to get b:

0=4(4)+b
0=16+b
B=-16

So in total, the new line is y=4x-16.
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