Question

20 POINTS What is the equation, in point slope form, for a line that passes through the points (2,3) and (5,2)?

Answer 1

The point-slope form:

`y-y_1=m(x-x_1)\\\\m=(x_2-x_1)/(y_2-y_1)`

We have the points (2, 3) and (5, 2). Substitute:

`m=(2-3)/(5-2)=(-1)/(3)=-(1)/(3)\\\\y-3=-(1)/(3)(x-2)`