What is the equation of a line that goes through point W(2,0) and is parallel to a line that goes through A (-1,2) and B(1,-6)(1 point) Responses y = -4x + 8 y = -4x + 8 y = -4x + 2 y = -4x + 2 y = 4x - 8 y = 4x - 8 y = 4x+2

Answer 1

First, we need to find the slope of the line that passes through points A(-1,2) and B(1,-6).

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
m = (y2 - y1) / (x2 - x1)

Using the coordinates of points A and B, we get:
m = (-6 - 2) / (1 - (-1))
m = -8 / 2
m = -4

Now, since we want the line passing through point W(2,0) to be parallel to the line passing through points A and B, it should have the same slope of -4.

Using the point-slope form of a linear equation, which is y - y1 = m(x - x1), we can write the equation:
y - 0 = (-4)(x - 2)
y = -4x + 8

Therefore, the equation of the line that goes through point W(2,0) and is parallel to the line passing through points A (-1,2) and B(1,-6) is:
y = -4x + 8