Question

Identify the x and y intercepts of the given equation

Answer 1

The given equation is;

`\begin{gathered} 2x-3y=6 \\ \text{Express this in slope-intercept form;} \\ -3y=-2x+6 \\ \text{Multiply all through by -1} \\ 3y=2x-6 \\ \text{Divide by 3} \\ y=(2x-6)/(3) \\ y=(2x)/(3)-(6)/(3) \\ y=(2)/(3)x-2 \\ \text{When x=0,} \\ y=(0)x-2 \\ y=-2 \\ \text{When y=0} \\ 0=(2)/(3)x-2 \\ (2)/(3)x=2 \\ x=3 \end{gathered}`

The x-intercept is 3, and the y-intercept is -2