SOLUTION: graph this equation -2x+4y=-8 need to see where the line goes

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Question 369953: graph this equation -2x+4y=-8
need to see where the line goes
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
To graph this, we first need to find the intercepts.

x-intercept


To find the x-intercept, plug in y=0 and solve for x


-2x%2B4y=-8 Start with the given equation.


-2x%2B4%280%29=-8 Plug in y=0.


-2x%2B0=-8 Multiply 4 and 0 to get 0.


-2x=-8 Simplify.


x=%28-8%29%2F%28-2%29 Divide both sides by -2 to isolate x.


x=4 Reduce.


So the x-intercept is .


------------------------------------------


y-intercept


To find the y-intercept, plug in x=0 and solve for y


-2x%2B4y=-8 Start with the given equation.


-2%280%29%2B4y=-8 Plug in x=0.


-0%2B4y=-8 Multiply -2 and 0 to get 0.


4y=-8 Simplify.


y=%28-8%29%2F%284%29 Divide both sides by 4 to isolate y.


y=-2 Reduce.


So the y-intercept is .


Now let's plot the points and which are the x and y intercepts respectively.





Now draw a straight line through the plotted points to graph -2x%2B4y=-8.


Graph of -2x%2B4y=-8


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim