2 Answers

Rmeakins · Answer 1 · 2021-06-28T09:51:39+0000

Answer: See the graph attached

Explanation:

You need to remember that the line intersects the y-axis when
x=0

Therefore, in order to find the y-intercept , you need to substitute
x=0 into the linear equation. Then:

$30x + 75y = 300\\\\30(0) + 75y = 300\\\\y=(300)/(75)\\\\y=4$

The line intersects the x-axis when
y=0 ;then you need to substitute
y=0 into the linear equation in order to find the y-intercept. This is:

$30x + 75(0)= 300\\\\x=(300)/(30)\\\\x=10$

Therefore, knowing that the line passes through the points
(0,4) and
(10,0) , you can determine that its graph is the one attached.

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