Question

Which line is parallel to the line that passes through the points (2, –5) and (–4, 1)

A. y=-x+5
B. y=-2/3x+3
C. y=2/3x-2
D. y=x+5

Answer 1

Answer:

Option A. y=-x+5

Step-by-step explanation:

we know that

If two lines are parallel, then their slopes are the same

step 1

Find the slope m

we have

the points (2, –5) and (–4, 1)

m=(1+5)/(-4-2)

m=-1

therefore

y=-x+5 ----> is parallel to the given line because the slope is equal to -1

Answer 2

Answer:

A. $y = -x +5$

Step-by-step explanation:

The slope of the line is:

$m = \frac{1-(-5)}{-4-2}$

$m = -1$

The equation of the line is:

$y - 1 = -(x-4)$

$y= 1 - (x-4)$

$y = -x +5$

This corresponds to one of the possible options.