Choose the point-slope form of the equation below that represents the line that passes through the points (−3, 2) and (2, 1).

y + 3 = −5(x − 2)

y − 2 = −5(x + 3)

y + 3 = −(x − 2)

y − 2 = −(x + 3)

Question

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

anonymous · Answer

The equation is of the form 
y - y1 = m(x - x1)
(x1, y1) is either of the given points; "m" is the slope.

Find the slope.
m = (y2-y1)/(x2-x1)
....= (1-2)/(2+3) = -1/5
However, this slope is not in any of the options, and I checked my work, so either you mistyped something, maybe one of the points, or the people making the book made a mistake.

Plug in either point for y1 and x1 in the equation. Apparently they used (-3, 2).
y - 2 = -(1/5)(x - (-3))
y - 2 = -(1/5)(x + 3)

precal · Answer

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