Question

Write the equation of the line that passes through (–1, 5) with a slope of 2 in standard form
a –2x – y = –7
b 2x – y = –7
c 2x – y = 11
d –2x + y = –11

Answer 1

The number in front of the x there gives the slope. At least I think that's what you call the slope. It's the derivative.

You know the point it goes through. So if you put in (x,y) = (-1,5) into those, then it has to satisfy the equation. Otherwise the equation doesn't represent the line, because it can't go through that point.