Which line has the same slope as the line passing through

Question

Which line has the same slope as the line passing through and (-4,-1) and (-1, -7)?

is it

-the line passing through (1,4) and (1,2)

 

-6x+3y=5

 

-y= -1/2 x -7

 

-y=-2 

 
 
 

 
 
 

 
 
 
 
 
 

 
 
 

 
 
 

 

Answer 1

The slope of the line passing between  (-4,-1) and (-1, -7) =  [(-1) - (-7)]/[(-4) - (-1)] = (-1 +7)/(-4 + 1) = 6/-3 = -2

 

Checking the first, we don't need the full equation. just the slope between the two points

(1,4) and (1,2)


This is a vertical line. The slope is (4-2)/(1-1) = 2/0 which is undefined.

 

 

Now, let's check the second.

-6x+3y = 5
3y = 6x + 5
y = 2x + 5/3
m = 2      no good, because 2 ≠ -2

 

Your third equation -y= -1/2 x -7 ≡ y = 1/2 x + 7 has a slope of 1/2

 

The fourth is a horizontal line y = 2 and has a slope of 0. 

 

 

So none make the cut, although the third equation is perpendicular.  Check to see if you copied the problem correctly.