Question

Please help

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

y= −2
the line passing through (1,4) and (1,2)
y= -1/2 x - 7
6x+3y=5

Answer 1

To have the slope, the lines must have the same gradient.
Gradient of the given line = (-7--1)/(-1--4) which is the same as (-7+1)/(-1+4.) This gives -6/3= -2

Thus the correct answer will have a gradient of -2
Option 1: There is no X component therefore no gradient, therefore this is wrong
Option 2: Gradient = (2-4)/(1-1)= impossible, therefore this is wrong
Option 3: This has a gradient of -1/2 therefore this is also wrong
Option 4: Rearange the formula to find Y
3Y= 5-6x
Y= 5/3 -2x
Therefore option 4 has a gradient of -2x therefore will have the same slope as the given one

Answer 2

The slope of the line is -2 and 6x + 3y = 5 also has a slope of -2