Question

Represent the given equation in $y=mx+c$ form:

$\frac{x}{-4}+\frac{y}{-1}=1$

• A. $y=\frac{1}{4}x-1$
• B. $y=-\frac{1}{4}x-1$
• C. $y=-\frac{1}{4}x+1$
• D. $y=\frac{1}{4}x+1$

Answer 1

The correct option is B $y=-\frac{1}{4}x-1$

The given equation is $\frac{x}{-4}+\frac{y}{-1}=1$ ........... $\left(i\right)$

Now, an equation of line of any form can be represented in slope-intercept form by solving the equation for $y$.

Let's solve $\left(i\right)$ for $y$,

$\therefore \frac{x}{-4}+\frac{y}{-1}=1⟹-x-4y=4⟹y=-\frac{1}{4}x-1$ which is in the form of $y=mx+c$.

Hence, option B is correct.