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Graph equation x+4y=0

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3 votes
Y=-1/4+0

That’s the answer. Just plug it into a calculator and you should get the graph!
User Gdahlm
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3 votes

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Answer:

see attached

Explanation:

The constant being 0 means the graph goes through the origin.

In the special case where the graph goes through the origin, the x- and y-intercepts are the same point--the origin. If you look at the coefficients of x and y, you see they are (1, 4). Swapping these and negating one of them will give another point on the graph: (-4, 1) or (4, -1). If you look at what these values do in the equation, you can see why.

x +4y = 0

(-4) +4(1) = 0

(4) +4(-1) = 0

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Additional comment

Ordinarily, you might graph a standard-form equation by plotting the x- and y-intercepts and drawing a line through them. When they are the same point (the origin), a different strategy must be used.

ax +by = c

  • x-intercept: c/a
  • y-intercept: c/b
Graph equation x+4y=0-example-1
User Udan
by
8.2k points

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