How do you plot the graph of 10x equals -5y by using the x- and y-intercepts?

Answer 1

10x = -5y

first find out what (y) and (x) equals

y = -2x

x = -1/2 y

now put zero for x in the y-equation and this will give you the y-intercept

y = -2*0 therefore the y-intercept is y=0

now put zero for y in the x-equation and this will give you the x-intercept

y = -1/2 * 0 therfore the x-intercept is also x=0

this means your line will go through the origin (0,0)

you can not really find out the whole graph of a line from just the intercepts

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True. It's not possible to graph a line from the intercepts alone ... if the line

goes through the origin, because in only that special case, both intercepts

are the same point.

But in every other case, the two intercepts give you two points, which give you the whole straight line.

Just remember: At the x-intercept, 'y' is zero. And at the y-intercept, 'x' is zero.