How do you graph #2x+4y=-4# using intercepts?

Question

5567 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-08-20T01:59:57

Start by re-writing it as y = some function of x

like so:

#2x + 4y = -4#

...subract 2x from both sides:

#4y = -2x -4#

...divide both sides by 4:

#y = (-x/2) - 1#

Now, the y intercept is the value of y where x = 0 -

#y = 0 - 1 = -1#

For the x intercept, set y = 0 and solve for x:

#0 = (-x/2) -1#

#x/2 = -1#

#x = -2#

so now you have your x & y intercepts. On your graph, plot points (-2, 0) and (0,-1)

And draw your line extending through these points.
graph{y = (-x/2)-1 [-10, 10, -5, 5]}