Question

Write the equation of the line passing through the points (-4, 5) and (4, 1).

Answer 1

9514 1404 393

Answer:

  y = -1/2x + 3

Step-by-step explanation:

It can work to start with the 2-point form of the equation for a line.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (1 -5)/(4 -(-4))(x -(-4)) +5 . . . . . fill in point values

  y = -4/8(x +4) +5 . . . . . . . . simplify a bit

  y = -1/2x -2 +5 . . . . . .eliminate parentheses

  y = -1/2x +3 . . . . collect terms