SOLUTION: Use the graphing tool to graph the line. Use the intercepts when drawing the line. If only one intercept is found use it and another point to draw the line. 3x-9=3y Help plea

Algebra ->  Graphs -> SOLUTION: Use the graphing tool to graph the line. Use the intercepts when drawing the line. If only one intercept is found use it and another point to draw the line. 3x-9=3y Help plea      Log On


   

Question 134276: Use the graphing tool to graph the line.
Use the intercepts when drawing the line.
If only one intercept is found use it and another point to draw the line.
3x-9=3y
Help please!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3x-9=3y+ Start with the given equation



3x-9-3y=0+ Subtract 3y from both sides


3x-3y=9+ Add 9 to both sides


So the equation is in standard form




3%2Ax-3%2Ay=9 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-3%2A%280%29=9 Plug in y=0

3%2Ax=9 Simplify

x=9%2F3 Divide both sides by 3


x=3 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-3%2Ay=9 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%29-3%2Ay=9 Plug in x=0

3%2Ay=9 Simplify

x=9%2F-3 Divide both sides by -3



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-3%2Ay=9
graph of 3%2Ax-3%2Ay=9 through the points and