Question

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

Answer 1

Multiple choice?

Answer 2

Do you know how to calculate the slope of the line going through 2 points?

Answer 3

slope formula is : slope(m) = (y2 - y1) / (x2 - x1)
(-1,2) x1 = -1 and y1 = 2
(5,-4) x2 = 5 and y2 = -4
now lets sub our info into the formula and find the slope
slope(m) = (-4 - 2) / (5 - (-1)
m = -6 / (5 + 1)
m = -6/6= -1 <-- this is the slope of the equation.

And since we are looking for a parallel line, the slope will stay the same.

Now we will use this formula...
y - y1 = m(x - x1)
slope(m) = - 1
you can use either of your sets of points, I will use (-1,2)
now lets sub it into the formula...
y - 2 = -1(x - (-1)
y - 2 = -1(x + 1)
y - 2 = - x - 1
y = -x - 1 + 2
y = -x + 1 <-- your line