How do you find the x and y intercepts of #2x-y=10#?

1 Answer

#x=5 and y=-10#
graph{2x-10 [-5, 10, -15, 5]}
(the graph has been scaled to show the intercepts and does not accurately depict the slope)

Explanation:

Put the equation into double-intercept form.
#(x/a)+(y/b)=1#
where #a# is the x-intercept and #b# is the y-intercept

Original equation:
#2x-y=10#
Divide all parts by 10:
#((2x)/10)+((-1y)/10)=(10/10)#

And here is the finished product!
#(x/5)+(y/-10)=1#

So the answer is...
#x=5 and y=-10#