TANGENT LINE/ NORMAL LINE Aimen Abbasi

Tangent Line (x, y)

5 steps 1. Plug in x to your original equation 2. Derive 3. Plug in x to your derived equation 4. Plug in to point intercept form 5. Chang it to y – intercept form

STEP 1 y = x^3 + 3x y = (2)^3 + 3(2) y = 2 - You are given: - To find y, you need plug in x to your original equation y = (2)^3 + 3(2) y = 2

STEP 2 - Derive y = 3x^2 + 3

STEP 3 - Plug in your x to your derived equation y = 3(2)^2 + 3 = 9 SLOPE!

STEP 4 y –y1 = m(x + x1) y –2 = 9(x + 2) -Plug it in to Point Intercept Form y –y1 = m(x + x1) y –2 = 9(x + 2)

STEP 5 Change it into y intercept form y= 9x + 20