Question

Please help explanation if possible

Answer 1

`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`