Question

Which of the following equations represents a line that is perpendicular to

y = -2x+4 and passes through the point, (4, 2)?
A. y=-3x +2
B. y - x
O C. y - 3x+4
O D. y = -2x

Answer 1

Answer: B) y = 1/2x

Explanation:

In a perpendicular line, the slope is the opposite reciprocal. Thus, the equation can be simplified into y = 1/2x+b. Then, to get b, simply plug in 4 for x and 2 for y

2=1/2(4)+b

2=2+b

0=b

Thus, the equation of the line is y = 1/2x + 0, or y = 1/2x

Hope it helps <3