SOLUTION: Find the values for m and b so that the system y=3/4x-2 and y=mx+b has (8,4) as a solution.
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Question 399049: Find the values for m and b so that the system y=3/4x-2 and y=mx+b has (8,4) as a solution.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Since (8,4) is an element of the solution set of
, there are an infinite number of answers to this problem (if (8,4) had NOT been an element of the solution set of
, there would be no solutions). Follow the procedure to determine as many of them as you like.
Pick any value you like for
, then use the point-slope form of an equation of a line:
Substituting 8 and 4 for
and
.
Solve for
in terms of everything else putting your equation into
form. Determine the
to go with your chosen
by inspection. Repeat as often as pleases you with as many real number selections for
that you like.
John

My calculator said it, I believe it, that settles it
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