Question

Write an equation of a line containing (2, 1) and (3, 4) in point-slope form.

Answer 1

`y-1=3(x-2)`

Or

`y-4=3(x-3)`

Explanation:

The slope formula is given by:

`m=(y_2-y_1)/(x_2-x_1)`

The line containing (2, 1) and (3, 4) has slope;

`m=(4-1)/(3-2)=3`

The point-slope form is given by:

`y-y_1=m(x-x_1)`

We substitute the point and slope to get:

`y-1=3(x-2)`

Or

`y-4=3(x-3)`