Question

What is the equation of a line passing through (3,2) and having a $y-$intercept of 5?

• A. $y=x+5$
• B. $y=x-5$
• C. $y=-x+5$
• D. $y=-x-5$

Answer 1

The correct option is C $y=-x+5$

The line has $y-$intercept as 5, so this means that the line passes through the point (0,5).
Also the line passes through the point (3,2).

Slope of the line $=m=\frac{Changeiny}{Changeinx}$
$m=\frac{2-5}{3-0}=\frac{-3}{3}=-1$

The equation of the line with slope as $m$ and $y-$intercept as $b$ can be written as $y=mx+b$.
Here, $m=-1$ and $b=5$.
The equation of the line: $y=-x+5$.