Answer:
y = 24x - 148
Step-by-step explanation:
Equation of the tangent line is a straight line which can be modeled by the general equation of y = mx + c
To find the gradient (m) of this function we must first differentiate our original equation and then substitute in our x = 12.
We are only given an x coordinate, so we will substitute this into our original equation to find a y coordinate.
To find c we will substitute in x, y, and m into y = mx+c, and then solve for c.
Plug in the gradient and c into the general equation for our answer.