Question

Find the x-intercept and y-intercept of the5.x - 3y = 6-Intercept: DB 믐Хy-intercept: 0

Answer 1

we have the following:

$\begin{gathered} 5x-3y=6 \\ 3y=5x-6 \\ y=\frac{5}{3}x-\frac{6}{2} \\ y=\frac{5}{3}x-2 \end{gathered}$

now, x-intercept:

$\begin{gathered} y=0 \\ 0=\frac{5}{3}x-2 \\ \frac{5}{3}x=2 \\ x=\frac{3\cdot2}{5}=\frac{6}{5} \\ \end{gathered}$

therefore,

$(\frac{6}{5},0)$

now, y-intercept:

$\begin{gathered} x=0 \\ y=\frac{5}{3}x-2 \\ y=\frac{5}{3}\cdot0-2 \\ y=-2 \\ \end{gathered}$

therefore,

$(0,-2)$