How do you find the x and y intercept of -2x+5y=20?

Mar 30, 2017

See the entire solution process below:

Explanation:

Y-Intercept)

To find the y-intercept, set $x$ equal to $0$ and solve for $y$:

$- 2 x + 5 y = 20$ becomes:

$\left(- 2 \cdot 0\right) + 5 y = 20$

$0 + 5 y = 20$

$5 y = 20$

$\frac{5 y}{\textcolor{red}{5}} = \frac{20}{\textcolor{red}{5}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{5}}} y}{\cancel{\textcolor{red}{5}}} = 4$

$y = 4$

The y-intercept is $4$ or $\left(0 , 4\right)$

X-Intercept)

To find the x-intercept, set $y$ equal to $0$ and solve for $x$:

$- 2 x + 5 y = 20$ becomes:

$- 2 x + \left(5 \cdot 0\right) = 20$

$- 2 x + 0 = 20$

$- 2 x = 20$

$\frac{- 2 x}{\textcolor{red}{- 2}} = \frac{20}{\textcolor{red}{- 2}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{- 2}}} x}{\cancel{\textcolor{red}{- 2}}} = - 10$

$x = - 10$

The x-intercept is $- 10$ or $\left(- 10 , 0\right)$