SOLUTION: 2x-4y=8 please help solve this, I need to graph each linear equation by finding the x & y intercepts

Algebra ->  Graphs -> SOLUTION: 2x-4y=8 please help solve this, I need to graph each linear equation by finding the x & y intercepts      Log On


   

Question 134405This question is from textbook beginning algebra
: 2x-4y=8 please help solve this, I need to graph each linear equation by finding the x & y intercepts This question is from textbook beginning algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2%2Ax-4%2Ay=8 Start with the given equation

Let's find the x-intercept

To find the x-intercept, let y=0 and solve for x:
2%2Ax-4%2A%280%29=8 Plug in y=0

2%2Ax=8 Simplify

x=8%2F2 Divide both sides by 2


x=4 Reduce



So the x-intercept is (note: the x-intercept will always have a y-coordinate equal to zero)



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

2%2Ax-4%2Ay=8 Start with the given equation

Now let's find the y-intercept

To find the y-intercept, let x=0 and solve for y:
2%2A%280%29-4%2Ay=8 Plug in x=0

4%2Ay=8 Simplify

x=8%2F-4 Divide both sides by -4



y=-2 Reduce



So the y-intercept is (note: the y-intercept will always have a x-coordinate equal to zero)

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

So we have these intercepts:
x-intercept:

y-intercept:



Now plot the two points and




Now draw a line through the two points to graph 2%2Ax-4%2Ay=8
graph of 2%2Ax-4%2Ay=8 through the points and