Answer:
(c) y -2 = 6/5(x -1)
Explanation:
The equations are all in point-slope form with a slope of 6/5. The points used are (-1, -2), (-2, -1), and (1, 2). It seems point (1, 2) best matches a point on the graphed line. Choice C is the best. (In the attached graph, choice C is the red line.)
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Additional comment
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
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The equation might be easier to see if the point chosen were one at a grid intersection, such as (-4, -4) or (6, 8).