Answer:
y = (-2/3)x + 2/3.
Explanation:
Let's use the slope-intercept form of the equation of a line, y = mx + b, to find m and b. We know two points through which the line goes: (1, 0) and (-2, 2).
The slope of the line is m = rise / run, which here is m = 2/(-3), or m = -2/3.
Substitute 1 for x and 0 for y, as well as -2/3 for m:
0 = (-2/3)(1) + b. Then b = 2/3, and the desired equation is
y = (-2/3)x + 2/3.
Check: When y = 0, does x = 1? YES