Question

Write an equation in slope-intercept form of the line that passes through (-4,9) and (2, -8)

Answer 1

9514 1404 393

Answer:

  y = -17/6x -7/3

Step-by-step explanation:

The 2-point form of the equation for a line can be a useful place to start.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (-8 -9)/(2-(-4))(x -(-4)) +9

  y = -17/6(x +4) +9 . . . . . simplify a bit

  y = -17/6x -11 1/3 +9 . . . eliminate parentheses

  y = -17/6x -7/3 . . . . . . . collect terms