How would you graph a line if your intercepts are both 0?

Question

Let's just say that you have x-2y=0, and both of your intercepts (x-intercept and y-intercept) are equal to 0. Would your line on the graph go horizontally or vertically? (I know that a vertical line shows an undefined slope, and a horizontal line shows a zero slope)

Answer 1

Neither. it means that the graph goes through the point (0,0)

For x-2y=0 rearrange to 2y =x. Y=(1/2)x

so slope of the line is 1/2

Youcangraphittoconfirm

Answer 2

Note the slope m is

m = -a/b = -1/(-2) = 1/2

The graph is a straight line of slope 1/2 passing through (0,0).