SOLUTION: COuld someone show me how to use the intercepts to graph this equation? {{{x+5y+10}}}

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Question 132894: COuld someone show me how to use the intercepts to graph this equation?
x%2B5y%2B10
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

1%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:
1%2Ax%2B5%2A%280%29=10 Plug in y=0

1%2Ax=10 Simplify

x=10%2F1 Divide both sides by 1


x=10 Reduce



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



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1%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:
1%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)

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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 1%2Ax%2B5%2Ay=10
graph of 1%2Ax%2B5%2Ay=10 through the points and