SOLUTION: In the xy plane, the graph of y=x^2+1 intersects the line m at (a,2) and (b,5). What's the greatest possible slope of m?

SOLUTION: In the xy plane, the graph of y=x^2+1 intersects the line m at (a,2) and (b,5). What's the greatest possible slope of m?

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Question 1088886: In the xy plane, the graph of y=x^2+1 intersects the line m at (a,2) and (b,5). What's the greatest possible slope of m?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The slope of the line would be,

Solve for a and b.

or
.
.
.

and
.
.
.
For the greatest value of slope, make a minimum but still positive.
So,

and

So,

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