(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Shown in the figure is the graph of x = y^2 and a line of slope m that passes through the point (4, 2). Find the value of m such that the line intersects the graph only at (4, 2) and interpret graphically.

2. Relevant equations

x = y^2

y = mx + b

3. The attempt at a solution

Since this is a system of two equations I went ahead and plugged x into y = mx + b. This gives me the equation y = m(y^2) + b. I then get by^2 - y + b = 0. I can plug this into the quadratic formula (or so I think). This gives me y = -(1 +- sqrt(1 - 4b^2)) / 2. I am not sure where to go from here.

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# Homework Help: System of Equations

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