See the attached image.
Work Step by Step
Given: $6x+5y-3z=15$ $x$-intercept $6x=15$ $\implies$ $x=5/2$ $y$-intercept $5y=15$ $\implies$ $y=3$ $z$-intercept $-3z=15$ $\implies$ $z=-5$ The graph is depicted as below:
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