Answer
x-intercept: $\quad \sqrt{3}$
y-intercept: $\quad -\sqrt{2}$
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Work Step by Step
The x-intercept is the value at which the graph crosses the x-axis (the y-coordinate is 0)
$\sqrt{2}x-\sqrt{3}(0)=\sqrt{6}$
$\sqrt{2}x=\sqrt{6}$
$x=\sqrt{\frac{6}{2}}=\sqrt{3}$
The y-intercept is the value at which the graph crosses the y-axis (the y-coordinate is 0)
$\sqrt{2}(0)-\sqrt{3}y=\sqrt{6}$
$-\sqrt{3}y=\sqrt{6}$
$y=-\sqrt{\frac{6}{3}}=-\sqrt{2}$
Draw a line through $(\sqrt{3},0)$ and $(0,-\sqrt{2}).$
