Question

Which line is perpendicular to a line that has a slope of 1/2 ?

Answer 1

The answer is HJ i took the test and got it right :)

Answer 2

Answer:

Option D. line HJ

Step-by-step explanation:

Slope of line AB which passes through points A(-4, -2) and B(4, 2)

$m1=\frac{2+2}{4+4}=\frac{4}{8}=1/2$

m1 = 1/2

Slope of line CD passing through C(-4, 0) and D(4, -4)

$m2=\frac{0+4}{-4-4}=\frac{4}{(-8)}=-\frac{1}{2}$

m2 = -1/2

Slope of the line HJ passing through H(-1, 3) and J(1, -1)

$m3 =\frac{-1-3}{1+1}=\frac{-4}{2}=(-2)$

m3 = (-2)

As we know that two line will be perpendicular if their m×m' = -1

Here we see that Line AB is having slope m1 = 1/2 and slope of HJ is m3 = (-2)

m1×m3 = (1/2)×(-2) = -1

Which clearly tells us that line HJ is perpendicular to line AB.

Therefore Option D. is the correct option.