Answer
$x$-intercept: $\frac{3}{2}$
$y$-intercept: $-\frac{5}{2}$
Work Step by Step
To find the $x$-intercept of an equation in standard form, we plug in $0$ for $y$, and solve for $x$.
$-5x+3(0)=-7.5$
We multiply: $-5x+0=-7.5$
We apply the identity property of addition: $-5x=-7.5$
We divide by $-5$ on both sides of the equation: $x=\frac{-7.5}{-5}=\frac{3}{2}$
To find the $y$-intercept of an equation in standard form, we plug in $0$ for $x$, and solve for $y$.
$-5(0)+3y=-7.5$
We multiply: $0+3y=-7.5$
We apply the identity property of addition: $-3y=7.5$
We divide by $-3$ on both sides of the equation: $y=-\frac{7.5}{3}=-\frac{5}{2}$
