Question

Write an equation for the line described. Give your answer in standard form.
$x$-intercept $-5$, $y$-intercept $2$

• A. $2x-5y=-10$
• B. $2x+5y=-10$
• C. $2x-5y=10$
• D. $-2x-5y=-10$

Answer 1

Answer: (A)

$2x-5y=-10$

We know the general equation of line when $x-$intercept and $y-$intercept are given is

$\frac{x}{a}+\frac{y}{b}=1$

Here, $x-$intercept$=-5$ and $y-$intercept$=2$

So, Required of line is given by

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

$\Rightarrow \frac{2x-5y}{-10}=1$

$\Rightarrow 2x-5y=-10$

So, $\text{A}$ is the correct option.