# What are the x and y intercepts of -3y=2x^3-3?

Mar 7, 2016

Intercept on $x$ axis is $1.1447$ and intercept on $y$ axis is $1$.

#### Explanation:

To find $x$ intercepts of −3y=2x^3−3, one needs to put $y = 0$ in the equation which gives us

−3xx0=2x^3−3 or $2 {x}^{3} - 3 = 0$ or $x = \frac{\sqrt[3]{3}}{2} = 1.1447$.

For $y$ intercepts, put $x = 0$, i.e. $- 3 y = 0 - 3 = - 3$ or $y = 1$

Hence, intercept on $x$ axis is $1.1447$ and intercept on $y$ axis is $1$.