Question

What is the point-slope form of a line that has a slope of 5 and passes through the point (3, –4)?

y – 3 = 5[x – (–4)]
–4 – y1 = 5(3 – x1)
y – (–4) = 3(x – 5)
y – (–4) = 5(x – 3)

Answer 1

The correct equation is y – (–4) = 5(x – 3), which is equivalent to y + 4 = 5(x – 3). This matches y − y1 = m(x − x1) with m = 5 and (x1,y1) = (3,−4).