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Answer:
D) y - 2 = 5/7(x - 7)
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
The given answer choices are written in point-slope form, so we can see they expect the line to go through one of the points (-7, -2), (7, 3), or (7, 2). Of these, we note that only point (7, 2) is on the line. (eliminates choices A, B, C)
To confirm that choice D is the correct choice, we can look at the slope between the y-intercept of (0, -3) and the point (7, 2). That is ...
m = (y2 -y1)/(x2 -x1)
m = (2 -(-3))/(7 -0) = 5/7
So, the equation of the line is ...
y -2 = 5/7(x -7)
