- #1

adillhoff

- 21

- 0

## Homework Statement

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.

## Homework Equations

x = y^2

y = mx + b

## 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.