Question

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

Answer 1

Answer:

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

Or

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

Step-by-step explanation:

The slope formula is given by:

$m=\frac{y_2-y_1}{x_2-x_1}$

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

$m=\frac{4-1}{3-2}=3$

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

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