m and n are the x and y coordinates, respectively, of a

Question

m and n are the x and y coordinates, respectively, of a point in the coordinate plane. If the points (m, n) and (m + p, n + 4) both lie on the line defined by the equation x = (y/2) - (2/5), what is the value of p?

A. 4/5
B. 1
C. 2
D. 5
E. 8

A. 4/5
B. 1
C. 2
D. 5
E. 8

Bunuel · Accepted Answer

m and n are the x and y coordinates, respectively, of a point in the coordinate plane. If the points (m, n) and (m + p, n + 4) both lie on the line defined by the equation x = (y/2) - (2/5), what is the value of p? 
A. 4/5
B. 1
C. 2
D. 5
E. 8

The points (m, n) and (m + p, n + 4) lie on the line  x=\frac{y}{2}-\frac{2}{5}  means that  m=\frac{n}{2}-\frac{2}{5}  and  m+p=\frac{n+4}{2}-\frac{2}{5} .

Subtract the second equation from the first:  (m+p)-m=(\frac{n+4}{2}-\frac{2}{5})-(\frac{n}{2}-\frac{2}{5})  -->  p=2 .

Answer: C.

avohden · Answer

I saw p and 4 as a ratio for the slope. I rewrote the given equation as follows: y=2x + 4/5. As the slope represents the rise/run ratio, I set-up a ratio equation as follows: 2/1 = 4/x and then solved for x, which was 2. Problem took less than 2 minutes.

BrainLab · Answer

1. Rewrite the equation y=2x + 4/5, so the slope is 2
2. (n+4-n)/(m+p-m)=2 --> P=2 (C)

Fdambro294 · Answer

Shame on me.... for being caught in the trap and not seeing that it is X = (y/2) and not written in the correct slope intercept form.

Geesh....

Posted from my mobile device

ScottTargetTestPrep · Answer

Solution:

First, let’s determine the slope of the given line by putting the equation into slope-intercept form:

x = y/2 - 2/5

2x = y - 4/5

y = 2x + 4/5

We see that the slope is 2, so we can now use the two given points and the slope of 2 to determine the value of p:

(n + 4 - n) / (m + p - m) = 2

4/p = 2

4 = 2p

2 = p

Answer: C

LucienH · Answer

The slope of a line is given as: 
 
Re-writing the equation we are given:
y = 2x + 4/5 --> the slope is 2

Plugging in the x;y coordinates we are provided, we should find the value of p: 
(n+4)-n)/((m+P) - m) = the slope = 2 
The Ms and Ns cancel out, leaving you with: 
4/P = 2 --> P = 2

m and n are the x and y coordinates, respectively, of a

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

m and n are the x and y coordinates, respectively, of a

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards