Question

Which equations and/or functions represent the graphed line? Select three options.

A coordinate plane with a line passing through the points, (negative 4, 0), (negative 2, 1), (0, 2), and (2, 3).




y – 3 = y minus 3 equals StartFraction one-half EndFraction left-parenthesis x minus 2 right-parenthesis.(x – 2)

Answer 1

The line has slope 1/2 and y-intercept 2, so its equation is y = (1/2)x + 2.

Three equivalent forms are:
- y = (1/2)x + 2
- y − 3 = (1/2)(x − 2)
- 2y = x + 4 (equivalently x − 2y = −4)

Each simplifies to the same line through (−4,0), (−2,1), (0,2), (2,3).