Answer:
(b) y -5 = 3/4(x -6)
Explanation:
The point-slope form of the equation for a line with slope m through point (h, k) is ...
y -k = m(x -h)
Your graph has two points marked: (-2, -1) and (6, 5). Even if you don't know the slope, these tell you the form of the equation will be ...
y +1 = m(x +2) . . . . no match
y -5 = m(x -6) . . . . matches choice B
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If you like, you can figure out the slope to be ...
m = (y2 -y1)/(x2 -x1)
m = (5 -(-1))/(6 -(-2)) = 6/8 = 3/4
All the answer choices agree that this is the slope of the line.