Aristotle

media type="file" key="agondolarideinparis.mp3" width="19" height="15" align="center"

Standard Form- A x+ B y= C  A=coefficient of "x" B=coefficient of "y" C=constant //Where A, B and C are real numbers, and A and B cannot both be zero.//

__Graph the equation "2x+3y=12"__

__Step 1- Find the "x" and "y" intercepts__ (A "y" or "x" intercept is where the line crosses the "y" axis or the "x" axis, respectively. The "x" and "y" axises are both represented by the number 0, in place of the y coordinate or the x coordinate, depending on which you are trying to find. Therefore, you can easily find either intercept by replacing the coordinate opposite you are trying to find with 0.) __ To find the x intercept __ __To find the y intercept__ 2x+3y=12 2x+3y=12

Replace "y" with 0- 2x+3(0)=12 Replace "x" with 0- 2(0)+3y=12

Divide both sides by 2- __2x__=__12__ Divide both sides by 3- __3y__=__12__

x=6 y=4 x intercept= (6,0) y intercept= (0,4)

Step 2 -__Graph the intercepts__ ...and connect the points.​

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Suppose you are preparing a snack mix. You want the total protein from peanuts and granola to equal 28 grams. Peanuts have 7 grams of protein per ounce and granola has 4 grams of protein per ounce. Write an equation for the protein content of your mix. Graph your equation. Use your graph to find how many ounces of granola you should use if you use one ounce of peanuts.

__Label the variables__ let x= amount of peanuts let y=amount of granola __ Substitute the given data into the equation __ Ax+By=C (7)x+(4)y=(28) 7x+4y=28

__Find the intercepts__ 7x+4y=28 7x+4y=28 7x+4(0)=28- Replace "y" with 0 7(0)+4y=28- Replace "x" with 0 __7x__ =__28__ Divide both sides by 7 __4y__=__28__ Divide both sides by 4 7 7 4 4 x=4 y=7 x intercept= (4,0) y intercept= (0,7)

__Graph the points__ ​



"Use the graph to find how many ounces of granola you should use for one ounce of peanuts." Translation: find the y coordinate of where "x=1" and the line meet (represented by the purple line). This point is 5.
 * Answer)** You would need five ounces of granola for one ounce of peanuts.

Here's our cute, not digitally created graph showing the first example. Notice the title and sloppy handwriting. :D **