Question

What is the equation of the line passing through (2, –2) and perpendicular to the line y = –x + 3 in slope-intercept form?

Answer 1

you have k=-1

for prependicular lines you have
\[\LARGE k\cdot k_1=-1 \]
\[\LARGE-1\cdot k_1=-1 \]
\[\LARGE - k_1=-1 \]
\[\LARGE k_1=1 \]

so plug it into...
\[\LARGE y-y_1=k(x-x_1 )\]

Answer 2

sorry... I didn't mentioned where k=-1 came from..

\[\LARGE y=-x+3\]
\[\Huge y=\underbrace{\boxed{-1}}_{k}\cdot x+3\]