Question

Find the product of x-intercept and y-intercept of the line $2x+4y=10$.

• A. 12.5

Answer 1

The correct option is A 12.5
Intercept form of a line is $\frac{x}{a}+\frac{y}{b}=1$------(i), where a and b are x and y intercept respectively.

Equation of the given line is $2x+4y=10$

To make this equation into general intercept form, divide both sides with 10.

$\to \frac{2}{10}x+\frac{4}{10}y=\frac{10}{10}$

$\to \frac{1}{5}x+\frac{2}{5}y=1$

$\to \frac{x}{5}+\frac{y}{\frac{5}{2}}=1$

$x$-intercept = 5 and $y$-intercept =$\frac{5}{2}$

Product = $5\times \frac{5}{2}=\frac{25}{2}$ = 12.5