Line m lies in the xy-plane. The y-intercept of line m is -2, and line

Question

Line m lies in the xy-plane. The y-intercept of line m is -2, and line m passes through the midpoint of the line segment whose endpoints are (2, 4) and (6, -8). What is the slope of line m ?

A. -3
B. -1
C. -1/3
D. 0
E. Undefined

M31-37

askhere · Accepted Answer

y intercept of line m is -2 ; i.e. one point on the line m is (0,-2)
Line m passes through the midpoint of (2,4) & (6, -8) i.e. ((2+6)/2 , (4+-8)/2) = (4, -2)

So two point on line m are (0,-2) and (4, -2) As the y coordinates of the two points are same, this is a line parallel to X axis.

So slope is zero.

Answer  D

Ambarish

D3N0 · Answer

Ans: D
Solution: line m goes through midpoint of (2, 4) and (6, -8). midpoint is (4,-2)
as we can see that the y axis of intercept point is (0,-2) means line m is parallel to x axis
slope M= 0
Ans: D

law258 · Answer

Horizontal line --> slope = 0

Vertical line --> slope is undefined

LoneSurvivor · Answer

Let the standard equation of intercept straight line is y=mx+c 
Now we have given that c=-2
The Line has also passed through (2, 4) and (6, -8). So the Point will be (4,-2).
So the line must satisfy this point.
=> -2=4m-2
=> m=0
option D

Bunuel · Answer

In the xy-plane, line  m  has a y-intercept of -2. If line  m  passes through the midpoint of the line segment with endpoints (2, 4) and (6, -8), what is the slope of line  m ?

A.  -3 
B.  -1 
C.  -\frac{1}{3} 
D.  0 
E.  Undefined

The y-intercept of line  m  being -2 indicates that  m  passes through the point (0, -2).
 
The coordinates of the midpoint of the line segment with endpoints (2, 4) and (6, -8) are calculated as  (\frac{2+6}{2}, \frac{4 + (-8)}{2})  which gives (4, -2).
 
So, we need to determine the slope of the line that goes through the points (0, -2) and (4, -2). Since the line through these points is horizontal, its slope is 0.
 
 https://gmatclub.com/gmat-practice-tests/resources/import/img/M31-37.png

Answer: D

BrushMyQuant · Answer

The y-intercept of line m is -2 
 
 That means that the line touches the y axis at point (0,-2)  
 Line m passes through the midpoint of the line segment whose endpoints are (2, 4) and (6, -8) 
 
 Mid point of (2,4) and (6,-8) will be given by ( \frac{2 + 6}{2} ,  \frac{4 + (-8)}{2} ) = (4,-2)  
 What is the slope of line m ? 
 
 Slope is given by Differnece of y-cordinates / Difference of x-cordinates 
 Line passes through two points (0,-2) and (4,-2) 
 Slope = (-2 - (-2)) / (4-0) = 0/4 = 0 
 Slope of 0 also means that the line is parallel to x axis i.e. all points on the line will have the same value of the y-cordinate (i.e. -2)  
So,  Answer will be D 
Hope it helps!

Watch the following video to MASTER Slope of a Line

https://www.youtube.com/watch?v=5ETteseWChE

bumpbot · Answer

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Line m lies in the xy-plane. The y-intercept of line m is -2, and line

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Line m lies in the xy-plane. The y-intercept of line m is -2, and line

Prep Toolkit

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My Rewards