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

a.) line ab
b.) line cd
c.) line fg
d.) line hj

Option D. line HJ

Step-by-step explanation:

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

m1 = 1/2

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

m2 = -1/2

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

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.

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation: