In the figure above, line segment QP lies on a line whose equation is

Question

https://gmatclub.com/forum/download/file.php?id=61821 In the figure above, line segment QP lies on a line whose equation is which of the following? A. y = 7x/6 B. y = x + 1 C. y = 7x/4 + 1 D. y = 2x/3 + 1 E. y = x/2 + 1 Project PS Butler Subscribe to get Daily Email - Click Here | Subscribe via RSS - RSS 2020-08-11_11-55-05.png

IanStewart · Answer

When we go 4 units to the right, from x =2 to x = 6, the line rises by 4 units, so the slope of the line is 1, and answer B must be right.

sumitkrocks · Answer

Slope is 1 
Only (B) has slope 1

GMATWhizTeam · Answer

Solution:

Co-ordinate of  P  and  Q  is  (2,3)  and  (6,7)

let us try each option and see which one satisfies the coordinates.

Option A:   y = 7x/6 
Let us try coordinate P(2,3) in this. 
Putting  x=2  in this equation:  y = \frac{(7	imes 2)}{6}=\frac{14}{6} 
This doesn't satisfy.

Option B:   y = x + 1 
Let us try coordinate P(2,3) in this. 
Putting  x=2  in this equation:  y = x+1 =2+1 = 3 
This satisfies.

Hence the right answer is  Option B .

asishron29181 · Answer

Coordinate of PQ ,

P = (2,3)
Q = (6,7)

Slope of the line PQ = y2 - y1 / x2 - x1
=4/4 =1

Equation of line , y- y1 = m(x - x1)
y-3 = 1 (x - 2)
y - 3 = x -2
y = x + 1

IMO B

HarshaBujji · Answer

It's a simple question all we need to do is analyze the picture correctly. As shown below in the attachment we can get the slope of the line m=1;

We know any line is of y=mx+c form

Here it is y=x+c; Just by substituting the points on the line, we can easily find c.
(2,3) => 3=2+c;

Hence c=1;

Overall equation of line : y=x+1

A. y = 7x/6

B. y = x + 1

C. y = 7x/4 + 1

D. y = 2x/3 + 1

E. y = x/2 + 1

Showmeyaa · Answer

Point P:(2, 3)
Point Q:(6, 7)
slope = 1
Equation: y = x + c
Now, putting the coordinates of P in the equation:
3 = 2 + c
c = 1.
So, the final equation: y = x + 1. IMO, (B)!

In the figure above, line segment QP lies on a line whose equation is

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In the figure above, line segment QP lies on a line whose equation is

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