Question

Find the xx and yy intercepts of the equation: 3x−2y=243x-2y=24 The intercepts are:

Answer 1

the x-intercept is at;

`(8,0)`

the y-intercept is at;

`(0,-12)`

Step-by-step explanation:

Given the equation;

`3x-2y=24`

We want to find the x and y intercept of the equation;

Recall that the x-intercept is at y=0;

substituting y=0 into the equation;

`\begin{gathered} 3x-2y=24 \\ 3x-2(0)=24 \\ 3x=24 \\ x=(24)/(3) \\ x=8 \end{gathered}`

So, the x-intercept is at;

`(8,0)`

Also, the y-intercept is at x=0;

substituting x=0 into the equation;

`\begin{gathered} 3(0)-2y=24 \\ -2y=24 \\ y=(24)/(-2) \\ y=-12 \end{gathered}`

Therefore, the y-intercept is at;

`(0,-12)`