Question 43 Answer and Explanation _ACT December 2014 Form 72G Math Section

43. Three linear equations are given below.

y = x

y = x + 1

y = -x + 1

In terms of being parallel, being perpendicular, or intersecting, how are the graphs of these equations related in the standard (x, y) coordinate plane?

A. All 3 lines are parallel.

B. All 3 lines are perpendicular.

C. All 3 lines meet in a common point.

D. Exactly 2 of the lines are parallel.

E. None of the lines are parallel or perpendicular.

Answer and Explanation

Your Answer is

Correct Answer is D

Explanation

When the coefficients of two linear functions are the same, they are parallel; when their coefficients are reciprocal, they are parallel to each other; therefore, there are exactly two straight lines parallel to each other