ACT Math 5.2 Coordinate Geometry
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ACT Math: Coordinate Geometry Drill 5, Problem 2. Which of these three lines are parallel?
|ACT Math||Coordinate Geometry|
|ACT Mathematics||Coordinate Geometry|
|Coordinate Geometry||Parallel and perpendicular lines|
|Foreign Language||Arabic Subtitled|
|Parallel and Perpendicular Lines||Parallel Lines|
|Product Type||ACT Math|
The key activity in this problem is to just reconstitute the equations to be in
standard line form.
For equation one its already in that form and the slope is -3.
For equation 2
let's start by subtracting 6x from both sides and we have
-2y equals -6x plus 4
multiply both sides by -1 to get 2y equal 6x -4
we divide both sides by 2 to get y equals 3x -2
So the slope is positive 3. For equation three we start by adding 9x to both
sides to get 3y equals 9x - 1
Now get rid the 3 in the 3y by dividing both sides by 3 to get y
equals 3x -1 by three. So the slope here is 3.
We have one equation with slope -3
and two with positive 3. So 2 and 3 are parallel.
Option C is our answer.