Question

Two lines are graphed on a coordinate plane.
The equation of the first line is 3x−6y=5

and the equation of the second line is x−2y=4
Which statement about the two lines is true?
A.

The lines are parallel.
B.

The lines are the same line.
C.

The lines are perpendicular.
D.

Both lines intersect at the point (1,2).

Answer 1

A. The lines are parallel.

Rewrite both in slope-intercept form: 3x−6y=5 → y = (1/2)x − 5/6, and x−2y=4 → y = (1/2)x − 2. Both have slope 1/2 but different y-intercepts, so they are distinct parallel lines.