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39 votes
39 votes
Please help explanation if possible

Please help explanation if possible-example-1
User Automatix
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1 Answer

11 votes
11 votes

Answer:


y = 2x + 7

Explanation:

Use Point Slope Form since we are given the slope and coordinates. Why is the slope 2x?

In Depth: Parallel lines never touch so they are Lines that have same slope but different y intercept. An example is a square. A square has four parallel sides. The upper and lower sides will never touch because they are the same slope and they both have a finite distance vertically between them.

Back to the question, let use the Point Slope Form,


y - y_(1) = m(x - x_(1))

Where y1 is the y coordinate of the given point, m is the slope and x is the x coordinates of the given points.

Substitute


y - ( - 1) = 2(x - ( - 4)


y + 1 = 2(x + 4)

Simplify


y + 1 = 2x + 8


y = 2x + 7

User Gooby
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3.2k points