How do you graph #10x=-5y# using the x and y intercepts?

Question

6825 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-02T19:16:07

#x=0#

#y=0#

Set x to 0 to find the y-intercept:

#10x=-5y#

#10(0)=-5y#

#0=-5y#

#y=0#

Now set y to 0 to solve for x, or you can notice that since the y-intercept is 0 and this is an equation for a line, the x-intercept must also be 0.

#10x=-5y#

#10x=-5(0)#

#10x=0#

#x=0#

Since both intercepts are the same you need the slope to graph it, put it in slope intercept form:

#y=mx+b#

#10x=-5y#

#-5y = 10x#

#y=-2x#

so your slope #m=-2# now graph:

graph{10x=-5y [-10, 10, -5, 5]}