BTGModeratorVI wrote: ↑Tue Mar 03, 2020 6:33 am
In a rectangular coordinate system, straight line k passes through points (0, 0) and (3, 2). Which of the following are coordinates of a point on k ?
A. (9, 4)
B. (4, 9)
C. (–4, 6)
D. (–6, –9)
E. (–6, –4)
Answer:
E
Source: Official Guide
Slope of the like k = (2 – 0)/(3 – 0) = 2/3;
Let's see which point if it lies on line k also has the slope 2/3.
A. (9, 4): Slope of the line = (4 – 0)/(9 – 0) = 4/9 ≠ 2/3. Not the correct answer.
B. (4, 9): Slope of the line = (9 – 0)/(4 – 0) = 9/4 ≠ 2/3. Not the correct answer.
C. (–4, 6): Slope of the line = (6 – 0)/(–4 – 0) = –3/2 ≠ 2/3. Not the correct answer.
D. (–6, –9): Slope of the line = (–9 – 0)/(–6 – 0) = 3/2 ≠ 2/3. Not the correct answer.
E. (–6, –4): Slope of the line = (–4 – 0)/(–6 – 0) = 2/3 = 2/3. The correct answer.
The correct answer:
E
Hope this helps!
-Jay
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