Answer:
y = 2/3x + 5/3
Step-by-step explanation:
The slope of the line is ...
slope = (change in y)/(change in x) = (3-1)/(2-(-1)) = 2/3
Then the point-slope form of the desired line can be written ...
y = m(x -h) +k . . . . . slope m through point (h, k)
y = 2/3(x +1) +1 . . . . slope 2/3 through point (-1, 1)
y = 2/3x + 5/3 . . . . . . simplify to slope-intercept form