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What equation is parallel to the equation y=1.5x-6

1 Answer

3 votes

Answer:

Any linear equation with a slope of 1.5

(examples:

  • y=1.5x-14
  • y=1.5x+2
  • y=1.5x+387)

Explanation:

If two equations are parallel, their slopes are the same.

y=1.5x-6 is written in slope-intercept form, which is:


y=mx+b

Where m is the slope, and b is the y-coordinate of the y-intercept.

Thus, looking at the equation y=1.5x-6, we can find that m=1.5.

This means that the slope is 1.5.

Think of any equation in this format that uses 1.5 as the slope. Here are a few examples:

  • y=1.5x-14
  • y=1.5x+2
  • y=1.5x+387

The graphs of all of these equations are parallel to the graph of y=1.5x-6 because their slopes are the same.

You can write your own equation using a slope of 1.5.

answered
User Seb Bizeul
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