Question

find the y- intercept and x-intercept of the line 2x-3y=-9

Answer 1

The given line is

$2x-3y=-9$

To find the y-intercept, we solve for y when x = 0.

$\begin{gathered} 2\cdot0-3y=-9 \\ -3y=-9 \\ y=-\frac{9}{-3} \\ y=3 \end{gathered}$

The y-intercept is (0,3).

To find the x-intercept, we solve for x when y = 0.

$\begin{gathered} 2x-3\cdot0=-9 \\ 2x=-9 \\ x=-\frac{9}{2}=-4.5 \end{gathered}$

The x-intercept is (-4.5, 0).