SOLUTION: Graph each of the following equations, using the intercept method. 2x+3y=6

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Question 109130: Graph each of the following equations, using the intercept method.
2x+3y=6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2%2Ax%2B3%2Ay=6 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%2B3%2A%280%29=6 Plug in y=0

2%2Ax=6 Simplify

x=6%2F2 Divide both sides by 2


x=3 Reduce



So the x-intercept is (3,0) (note: the x-intercept will always have a y-coordinate equal to zero)

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2%2Ax%2B3%2Ay=6 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%2B3%2Ay=6 Plug in x=0

3%2Ay=6 Simplify

x=6%2F3 Divide both sides by 3



y=2 Reduce



So the y-intercept is (0,2) (note: the y-intercept will always have a x-coordinate equal to zero)

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So we have these intercepts:
x-intercept: (3,0)

y-intercept: (0,2)



Now plot the two points (3,0) and (0,2)




Now draw a line through the two points to graph 2%2Ax%2B3%2Ay=6
graph of 2%2Ax%2B3%2Ay=6 through the points (3,0) and (0,2)