Question

Find x and y intercepts of3x-4y=20

Answer 1

$3x-4y=20$

Using the formula below

$\begin{gathered} y=mx+b \\ \text{where} \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}$

Therefore,

$\begin{gathered} 3x-20=4y \\ 4y=3x-20 \\ \text{divide both sides by 4} \\ \frac{4y}{4}=\frac{3x}{4}-\frac{20}{4} \\ y=\frac{3}{4}x-5 \\ y-\text{intercept}=-5 \\ \end{gathered}$$\begin{gathered} y=\frac{3}{4}x-5 \\ 0=\frac{3}{4}x-5 \\ 5=\frac{3}{4}x \\ 20=3x \\ x=\frac{20}{3} \\ x-\text{intercept}=\frac{20}{3} \end{gathered}$

Note y-intercept is when x = 0 and x -intercept is when y = 0