Question

Find the slope intercept form for the line given by its equation $\frac{x}{4}-\frac{y}{5}=3$.

• A. $y=\left(\frac{4}{5}\right)x-15$
• B. $y=\left(\frac{5}{4}\right)x-15$
• C. $y=\left(\frac{5}{4}\right)x+3$
• D. $-y=\left(\frac{1}{4}\right)x+15$

Answer 1

The correct option is B $y=\left(\frac{5}{4}\right)x-15$

Consider $\frac{x}{4}-\frac{y}{5}=3$ and solve as follows to find the slope intercept form:

$\frac{x}{4}-\frac{y}{5}=3$

$\Rightarrow 5x-4y=60$

$\Rightarrow 4y=5x-60$

$\Rightarrow y=\frac{5x}{4}-\frac{60}{4}$

$\Rightarrow y=\frac{5x}{4}-15$

Hence, the slope intercept form is $y=\frac{5x}{4}-15$.