# How do you graph 3x-2y=6 by the find the x and y intercepts?

The x-intercept occurs when $y = 0$ so the x-intercept for the equation $3 x - 2 y = 6$ can be determined by evaluating $3 x - 2 \left(0\right) = 6$ $\rightarrow$ $3 x = 6$ $\rightarrow$ $x = 2$
The x-intercept is at $\left(x , y\right) = \left(2 , 0\right)$
Similarly the y-intercept can be determined to occur at $\left(x , y\right) = \left(0 , - 3\right)$
Since $3 x - 2 y = 6$ is an equation representing a straight line,
simply draw a straight line which goes through both $\left(2 , 0\right)$ and $\left(0 , - 3\right)$