Describe how the graphs of y=1/2x +7 is the same and different from the graph of y= 12x + 7
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Hello!
Given the two points, and
, and to find the distance between these two points is found by using the formula:
is assigned to one the points, in this case, is (4, 1).
is assigned to other point, which is (9, 1).
Then, plug in these values into the formula and solve.
Therefore, the distance between the two points is 5.
We write an inequality:
This equation cannot be solved using trivial methods found in high-school classes, so we resort to graphical examination.
is a linear function while 
is an exponential one (with limit zero as 
approaches 
). We see that 
at approximately 
and 
.
Indeed, using a computer algebra system such as the ones on modern TI calculators and on many internet sites gives equality at
. By observing our graph, we see that when 
or 
.
This equation cannot be solved using trivial methods found in high-school classes, so we resort to graphical examination.
Indeed, using a computer algebra system such as the ones on modern TI calculators and on many internet sites gives equality at