SOLUTION: 1. Graph each of the following equation, using the intercept method. 6x + y = 6

Algebra ->  Graphs -> SOLUTION: 1. Graph each of the following equation, using the intercept method. 6x + y = 6       Log On


   

Question 125736: 1. Graph each of the following equation, using the intercept method.
6x + y = 6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
6%2Ax%2B1%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:
6%2Ax%2B1%2A%280%29=6 Plug in y=0

6%2Ax=6 Simplify

x=6%2F6 Divide both sides by 6


x=1 Reduce



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



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6%2Ax%2B1%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:
6%2A%280%29%2B1%2Ay=6 Plug in x=0

1%2Ay=6 Simplify

x=6%2F1 Divide both sides by 1



y=6 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 6%2Ax%2B1%2Ay=6
graph of 6%2Ax%2B1%2Ay=6 through the points and