# How do you graph 2x+5y=8?

Feb 24, 2017

graph{2x+5y=8 [-4.72, 5.28, -1.56, 3.44]}

$y = - 0.4 x + 1.6$

y-intercept at $\left(0 , 1.6\right)$
x-intercept at $\left(4 , 0\right)$

#### Explanation:

convert function to $y = m x + c$ form:

$2 x + 5 y = 8$

(subtract $2 x$)
$5 y = 8 - 2 x$
$5 y = - 2 x + 8$

(divide by $5$)
$y = \frac{- 2 x + 8}{5}$
or
$y = - 0.4 x + 1.6$

from the $y = m x + c$ form, you can plot the $y$-intercept at $\left(0 , 1.6\right) .$

the graph is negative, so as $x$ increases, $y$ decreases.

the $x$-intercept is at (4,0)  since $- 0.4 \cdot 4 = - 1.6$ and $- 1.6 + 1.6 = 0$