Answer:
[tex]y = - \frac{1}{3} x - \frac{20}{3} [/tex]
Step-by-step explanation:
- Use the following equation
- [tex]y - y_{1} = m(x - x_{1})[/tex]
- your x1 and y1 are from the point you're given, so the ( -2 , 6 ) will be x1 = -2 and y1 = 6
- m is the slope, so m = -1/3
- Then we just substitute into the equation
- so
- [tex]y - (6) = - \frac{1}{3} ( x - ( - 2)) \\ y - 6 = - \frac{1}{ 3} (x + 2) \\ y - 6 = - \frac{1}{3} x - \frac{2}{3} \\ y - 6 + (6) = - \frac{1}{3} x - \frac{2}{3} + 6 \\ y = - \frac{1}{3} x - \frac{20}{3} [/tex]
- So that's our equation
