Question

Graph each equation using the intercepts. 3x-2y=6

Answer 1

To find the x-intercept, we set y=0 and solve for x:

`\begin{gathered} 3x-2\cdot0=6, \\ 3x=6, \\ (3x)/(3)=(6)/(3), \\ x=2. \end{gathered}`

Therefore, the coordinates of the x-intercept are (2,0).

Now, to find the y-intercept, we set x=0 and solve for y:

`\begin{gathered} 3\cdot0-2y=6, \\ -2y=6, \\ (-2y)/(-2)=(6)/(-2), \\ y=-3. \end{gathered}`

Therefore, the coordinates of the y-intercept are (0,-3).

Answer: