Question

Find the x-intercept and y-intercept of the line-2x + 3y = 12, and graph: X-int. = y-int. =

Answer 1

Given data:

The given equation of the line is -2x + 3y = 12.

Substitute 0 for y to get x intercept.

`\begin{gathered} -2x+3(0)=12 \\ -2x=12 \\ x=-6 \end{gathered}`

Substitute 0 for x to get y intercept.

`\begin{gathered} -2(0)+3y=12 \\ 3y=12 \\ y=4 \end{gathered}`

The graph of the given equation is shown below.

Thus, the value of x intercept is -6, and the value of y intercept is 4t