Question

Which of the following linear equations passes through points (-1, 5) and (1, -5)? y = -5x y = 5x + 10 y = -2x + 3 None of these choices are correct.

Answer 1

y = -5x

Explanation:

Which of the following linear equations passes through points (-1, 5) and (1, -5)?

y = -5x

y = 5x + 10

y = -2x + 3

None of these choices are correct.

Solution:

First find slope of equation:

slope, m = (y2-y1) / (x2-x1) = (5-(-5) / (-1-1) = 10/(-2) = -5

Now substitute m in the point slope form to find the y-intercept b

y-y1 = m(x-x1)

y-5 = 5(x- -1)

y = -5(x+1) + 5

y = -5x