Question

A coordinate plane with a point plotted at and labeled (0, 2).
Vera wants to graph a line that passes through (0, 2) and has a slope of StartFraction 2 Over 3 EndFraction. Which points could Vera use to graph the line? Select three options.

(–3, 0)
(–2, –3)
(2, 5)
(3, 4)
(6, 6)

Answer 1

Equation: y = (2/3)x + 2. Check each point:

- (–3, 0): y = (2/3)(–3) + 2 = –2 + 2 = 0 — yes.
- (3, 4): y = (2/3)(3) + 2 = 2 + 2 = 4 — yes.
- (6, 6): y = (2/3)(6) + 2 = 4 + 2 = 6 — yes.

So the three points are (–3, 0), (3, 4), and (6, 6).