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

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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:

Graph each equation using the intercepts. 3x-2y=6-example-1
User Daniel Kamil Kozar
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