Question

Find the equation of a line passing through the point $(-2,3)$ and having x-intercept $4$ units.

Answer 1

intercept form of a line $\frac{x}{a}+\frac{y}{b}=1$

Now, $a=4$

As it passes through $x=-2,y=3$

$\frac{-2}{4}+\frac{3}{b}=1\Rightarrow \frac{3}{b}=\frac{3}{2}\Rightarrow b=2$

Hence, required equation is $\frac{x}{4}+\frac{y}{2}=1\Rightarrow x+2y=4$