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=-(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=-(9)/(2)=-4.5 \end{gathered}`

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