Question

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

Answer 1

Nice! Now, the slope of the line joining points (-1, 2) and (5, -4) is


`m=(-4-2)/(5-(-1))=(-6)/(6)=-1`

Look at each answer choice and pick out the one that has a slope of -1.

a. y = -x + 1 The coefficient of x is -1, so that's the answer you want.
b. y = -1/3x - 4 The coefficient of x is -1/3; the slope is -1/3. Nope.

etc.

Answer 2

y=-x+1

Explanation:

find equation of a line parallel to the line that passes through the points (-1, 2) and (5, -4)

Equation of a line is y=mx+b

where m is the slope and b is the y intercept

`m=(y2-y1)/(x2-x1) = (-4-2)/(5+1) = -1`

m= -1 , parallel line has same slope

to find out b we plug in (-1,2) in y=mx+b

2= -1(-1) +b

2=1+b

Subtract 1 from both sides

b= 1

So equation of line is y=-1x+1

y=-x+1