Question

Write the equation of the line that passes through (2, 4) and has a slope of –1 in point-slope form.

Answer 1

x – 4 = –1(y – 2)
x – 2 = –1(y – 4)
y – 2 = –1(x – 4)
y – 4 = –1(x – 2)

Answer 2

Since we know what the ordered pair is, and we have the slope, we can solve this very quickly:

Point slope form:
y - y1 = m(x - x1)

So, we just substitute our values in:

y - 4 = -1(x - 2) is the answer!