9514 1404 393
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