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

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Answer 1 · 2017-02-24T18:48:20

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

$y=-0.4x+1.6$

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

convert function to $y=mx+c$ form:

$2x+5y=8$

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

(divide by $5$ )
$y=(-2x+8)/5$
or
$y=-0.4x+1.6$

from the $y=mx+c$ form, you can plot the $y$ -intercept at $(0,1.6).$

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

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

How do you graph 2x+5y=82x+5y=8?