Randolph is creating parallelogram WXYZ so that WX has an equation of y = 1/4x − 6. Segment YZ must pass through the point (−1, 5). Which of the following is the equation for YZ?

  y − 5 = 1 over 4(x − (−1))

Step-by-step explanation:

The slope of YZ is the same as the slope of WX, 1/4. Using that, and the given point (-1, 5) in the point-slope form of the equation of a line, we have ...

  y - k = m(x -h) . . . . . line with slope m through point (h, k)

  y -5 = 1/4(x -(-1)) . . . . . . matches the first choice

Step-by-step explanation:

y - 5 = -1/4(x + 1)

y - 20/4 = -1/4x - 1/4

y = -1/4x + 19/4