How do you graph y=-1/4x-5y=−14x−5?

1 Answer
ProfLayton
Apr 22, 2016

Method below

Explanation:

First, we find the yy-intercept by substituting x=0x=0:
y=-1/4(0)-5y=−14(0)−5
y=-5y=−5, so the y intercept is (0,-5)(0,−5)

Then we find the xx-intercept by substituting y=0y=0:
0=-1/4x-50=−14x−5
1/4x=-514x=−5
x=-20x=−20, so the x intercept is (-20,0)(−20,0)

Now what we know two points, we just plot them on the graph and draw a line connecting them and extending past them

graph{y=-1/4x-5 [-31.6, 27.07, -13.28, 16.06]}

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