Question

Write the point-slope form of the line that passes through the indicated points.

(1,3) and (4, -3)
a. y - 3 = -2(x – 4)
y - 3 = -2(x - 1)
y + 3 = -2(x + 1)
y - 4 = -2(x + 3)
y + 3 = -2(x + 4)

Answer 1

y-3=-2(x-4)

Explanation:

Answer 2

y - 3 = -2(x - 1)

Explanation:

Let's find the slope of the line first. Going from (1, 3) to (4, -3), x (the "run") increases by 3 and y (the "rise") decreases by 6 . Thus, the slope is

m = rise/run = -6/3 = -2.

To find the point-slope equation, we can use either given point, (1, 3) or (4, -3). Using the first one,

y - 3 = -2(x - 1)

This matches the first of the four answer choices.