Question

The equation of the line passing through the points $(0,-3)$ and $(4,3)$ is

• A. $y=\frac{3x}{2}-3$
• B. $y=\frac{3x}{2}+3$
• C. $y=\frac{2x}{3}-3$
• D. $y=\frac{2x}{3}+3$

Answer 1

The correct option is A $y=\frac{3x}{2}-3$

The equation of the line is given as
$y=mx+c$, where $c$ is the intercept of line on $y-$axis.
So, from the question we have
$c=-3$
and, slope $m=\frac{y_2-y_1}{x_2-x_1}=\frac{3-(-3)}{4-0}=\frac{3}{2}$
So, the equation of the line is
$y=\frac{3x}{2}-3$