Question

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 + 2

y = 4x - 8

y = 4x+2

Answer 1

To find the equation of a line that is parallel to another line, we need to use the same slope. The slope of the line passing through points A (-1, 2) and B (1, -6) can be calculated as:

slope = (change in y)/(change in x)
= (-6 - 2)/(1 - (-1))
= -8/2
= -4

So, the slope of the parallel line will also be -4. Now, let's use the point-slope form of the equation of a line to find the equation of the line passing through point W (2,0):

y - y1 = m(x - x1)

Using point W (2,0) and slope -4:

y - 0 = -4(x - 2)
y = -4x + 8

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