Choose the point-slope form of the equation below that represents the line that passes through the points (−3, 2) and (2, 1). a: y 3=-5(x-2) b: y-2=-5(x 3) c: y 3=-1/5(x-2) d: y-2=-1/5(x 3)

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

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