Given that the curve y = 5 + 4x -x^2 has a tangent equation in the form of y = mx + 9. Calculate the values of m without drawing a graph or using differentiation.
Hello, z1llch!
Given that the curve has a tangent equation in the form: ,
calculate the values of without drawing a graph or using differentiation.
If that line tangent to the parabola, they intersect at one point.
We have: .
Quadratic Formula: .
There will be one point of intersection if the disriminant is zero.
Hence: .