Question

Line A goes through the points (0, 8) and (-2, 0) and line B goes through (1, 2) and (3, x ). What value of x is needed for line A to be parallel to line B?

A) −5
B) 10
C) 3
D) 0
E) −4

Answer 1

Answer:

Step-by-step explanation:

Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6. Rearranged, it is –x/2 + y = 6.