Question

A line passes from $(3,4)$ having $y$-intercept $c=2$. Find the slope of the line.

• A. $\frac{3}{2}$
• B. $-\frac{2}{3}$
• C. $\frac{2}{3}$
• D. $-\frac{3}{2}$

Answer 1

The correct option is C $\frac{2}{3}$

Let the equation of the line be $y=mx+c$.
$c=2\text{(given)}$
$\therefore y=mx+2$

Point $(3,4)$ lies on the line.
$\Rightarrow 4=3m+2$
$\Rightarrow 4-2=3m$
$\Rightarrow m=\frac{2}{3}$
Hence, the slope of the line is $m=\frac{2}{3}$