SOLUTION: graph by x and y intercept -2x+5y=10

Algebra ->  Linear-equations -> SOLUTION: graph by x and y intercept -2x+5y=10      Log On


   

Question 117179: graph by x and y intercept -2x+5y=10
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-2%2Ax%2B5%2Ay=10 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%2B5%2A%280%29=10 Plug in y=0

-2%2Ax=10 Simplify

x=10%2F-2 Divide both sides by -2


x=-5 Reduce



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



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

-2%2Ax%2B5%2Ay=10 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%2B5%2Ay=10 Plug in x=0

-5%2Ay=10 Simplify

x=10%2F5 Divide both sides by 5



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%2B5%2Ay=10
graph of -2%2Ax%2B5%2Ay=10 through the points and