Verified answer

Rearrange the equation to get y = (1/2)x + 1/2

Let's call the gradient m_1, and m_1 = 1/2

So, the gradient of the new line, m_2, when multiplied with m_1 must equal -1.

m_1m_2 = - 1

(1/2)m_2 = - 1

m_2 = - 2

So we have y = - 2x + c

Now, put the point (4, - 2) into the equation, and find c.

- 2 = - 2(4) + c

c = - 2 + 8

c = 6

So the equation is y = - 2x + 6

Rearrange to get 2x + y = 6, so the answer is A

y = (x + 1)/2

the perpendicular line will have a slope of -2

a.) is the one with a -2 slope and passes through (4,-2), 2(4)-2 = 6