Question

A line passes through the point (4, –3) and has slope m = 1. Find the equation in point–slope form.

y + 3 = x + 4

y + 4 = x - 3

y - 4 = x - 3

y + 3 = x - 4

Answer 1

The expected answer is ...

y +3 = x -4

Explanation:

The line with slope m through point (h, k) can be written in point-slope form as ...

y -k = m(x -h)

For (h, k) = (4, -3) and m=1, the filled-in form is ...

y +3 = x -4

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It happens that the same line can be described by ...

y +4 = x -3 . . . . . matches the second choice

because that line also goes through the point (3, -4).