Question

What is the equation of a line passing through (3, 4) and having a slope of -5?


A.

y = 5x + 19




B.
y = -5x + 11




C.
y = -5x + 19




D.
y = -1/5x +19





E.

y = -1/5x+11

Answer 1

The slope equation of a line is,
\[y=mx+n\]
where m is the slope and n the y xis intercept. So m=-5, and then,
\[y=-5x+n\]To find n, you know that the line must pass through (3,4), so,
\[4=5\cdot3+n\Rightarrow 4=-15+n \Rightarrow n=19\]So,
\[y=-5x+19\]