Question

How do you find the point slope form for the points (2,7) and (-1,9)?

Answer 1

Use the Equation(in the picture) and plug in your variables to find m(slope)

`(9-7)/(-1-2) = (-2)/(3) = -0.67`

Answer 2

y = -2/3 x + 25/3

Explanation:

The slope = (y_2 - y_1) / (x_2 - x_1) = (9 - 7) / (-1 - 2) = -2/3.

Our equation needs to be in y = mx + b form.

We can plug in (2, 7) as our (x, y) and find b:

7 = -2/3 (2) + b

b = 7 + 4/3 = 25 / 3.

Therefore, our equation is y = -2/3 x + 25/3