SOLUTION: (graphing linear equations) Graph each wquation by using the x-and y-intercepts. 3x-y=3

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: (graphing linear equations) Graph each wquation by using the x-and y-intercepts. 3x-y=3      Log On


   

Question 118261: (graphing linear equations)
Graph each wquation by using the x-and y-intercepts.
3x-y=3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3%2Ax-1%2Ay=3 Start with the given equation

Let's find the x-intercept

To find the x-intercept, let y=0 and solve for x:
3%2Ax-1%2A%280%29=3 Plug in y=0

3%2Ax=3 Simplify

x=3%2F3 Divide both sides by 3


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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3%2Ax-1%2Ay=3 Start with the given equation

Now let's find the y-intercept

To find the y-intercept, let x=0 and solve for y:
3%2A%280%29-1%2Ay=3 Plug in x=0

1%2Ay=3 Simplify

x=3%2F-1 Divide both sides by -1



y=-3 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 3%2Ax-1%2Ay=3
graph of 3%2Ax-1%2Ay=3 through the points and