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)

y = -4x + 8
y = -4x + 2
y = 4x - 8
y = 4x+2

Answer 1

The equation of a line parallel to y = -4x + 8 and passing through point W(2,0) is y = -4x + 8.

Therefore, the correct answer is: option 'y = -4x + 8.'

Step-by-step explanation:

The equation of a line parallel to y = -4x + 8 and passing through point W(2,0) can be found using the point-slope form of a line.

The equation y - y1 = m(x - x1) can be used, where m is the slope and (x1, y1) are the coordinates of the given point.

In this case, the slope is -4 (same as the slope of the given line) and the coordinates are (2,0).

Plugging them into the equation, we get y - 0 = -4(x - 2), which simplifies to y = -4x + 8.