1. TANGENT LINE/ NORMAL LINE
Aimen Abbasi

2. Tangent Line
(x, y)

3. 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

4. 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

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

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

7. 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)

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