crackgmat007 wrote:Q: The graph of which of the following equations is a straight line that is parallel to line l in the figure below?
A. 3y - 2x = 0
B. 3y + 2x = 0
C. 3y + 2x = 6
D. 2y - 3x = 6
E. 2y + 3x = -6
If two lines are parallel, then they have the SAME SLOPE.
The line passes through the points (0, 2) and (-3, 0)
Applying the slope formula, we get: Slope = (2 - 0)/(0 - -3)
=
2/3
Now take each equation of each line (in the answer choices) and rewrite it in slope y-intercept form: y =
mx + b (where m = slope and b = y-intercept)
The rewritten equation that has
m = 2/3, will be the correct answer....
A. 3y - 2x = 0...rewrite as y =(
2/3)x + 0
DONE!
This line has a slope of
2/3, so it must be parallel with the given line.
Answer:
A
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
