Question

A line with a slope -2 passes through the point (-1,4). Which equation represents this line in point-slope form?

y=-2x+2
y-2=-(x+4)
y-4=-2(x+1)
y+4=-2(x-1)

Answer 1

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Answer:

y-4 = -2(x+1)

Explanation:

The point-slope equation of a line is ...

y -k = m(x -h) . . . . . line with slope m through point (h, k)

You have m = -2 and (h, k) = (-1, 4). Putting these numbers into the above form gives ...

y -4 = -2(x +1)