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MTH 158
Your 'question form' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
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Chapter 2.2 - #27
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Chapter 2 section 2 presents number 27 as 9x^2+4y=36 and the instructions state find the intercepts and graph each equation by plotting points. Be sure to label the intercepts. I know that in order to calculate the intercepts I must first let y=0, giving me the x-intercepts of 2 and -2. Then I know to let x=0, giving me the y-intercept of 9. However, I am uncomfortable with creating a table for plotting points and am unsure where to go after calculating these intercepts.
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Your x intercepts are -2 and 2, so you would do well to use x values between -2 and 2, as well as a couple that go beyond the interval from -2 to 2.
I would recommend using x values -4, -3, -2, -1, 0, 1, 2, 3 and 4.
You will plug these values in for x and find y.
I would suggest first solving the equation for y. You would get y = 9 - 9/4 x^2. In this form it's easy to plug in your x values to get the corresponding y values.
Some of the values you will get correspond to those in the table below:
x y
-4 -27
-3
-2 0
-1
0
1 29/7 or 4 1/7
2
3
4
You can complete the rest of the table and plot your graph.************
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