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Graph each of the three given equations. How do the lines change as the coefficient of “x” increases in value? (To graph the equations on graph paper, create a table of values for each equation. Use –1, 0, 1, 2, and 3 as values for “x”, determine the corresponding y-values, graph the ordered pairs, and then draw a line through them. Compare the three lines to answer the question.)
y=2x y=4x y=8x

1 Answer

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Answer:

-1,0,1,2,3

y=2x

y=-2

y=0

y=2

y=4

y=6

y=4x

y=-4

y=0

y=4

y=8

y=12

y=8x

y=-8

y=0

y=8

y=16

y=24

The lines change. when it is y=2x, then everytime it goes up by 2. when y=4x, goes up by 4 and so on. To graph them, do not graph any lines that show y=2x with an x in it. To graph y, go on the x axis y=0 = the whole line on the x axis. y=-2 = 0-2 or 0,-2 and 1,-2 so to graph a line, put the number 0 into the y, like 0,24 then mark that spot, the add 1, and mark that spot and so on.

Hope this helps plz hit the crown ;D and graph all those lines above!