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37. Can you find values for a and k so that the graphs of y= |x+a|+k and y=x^2 intersect at exactly one point?
42.graph the equation or inequality
y= 1
x-2
^whats the slope and intercepts? im not sure on how to find them?
and lastly
47.you are given a table of values
x=84 y=8
x=36 y=6
x=16 y=4
x=4 y=2
x=0 y=0
a)even though y-values decrease by 2, the graph for this data is not a line with slope -2. Why not?
b)Write and equation that relates x and y.
c)The pattern suggests that the next pair in the table should be (-4, -2). Does this point fit your equation from part b?
I'll take on the last one..
47. Are you sure the first set of numbers isn't supposed to be x=64, y=8? If so then the an equation which contains those points would be x = y^2.
a) The graph is not a line (y=mx+b) but rather a curve. Only lines have slopes.
b) x = y^2 (assuming you made a type on the first set of numbers)
c) No. It would be (4, -2) since (-2)^2 = 4
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42. The equation is not a line so it doesn't have a slope. To figure out the intercepts, you plug in 0 for one of the variables and compute the other.
There is no value of x where y = 0. So there isn't an x intercept. The function is undefined for x=2 since you would be dividing by 0.
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