Question

How can you use the point-slope form of a line when only given two points?

Answer 1

Answer:

If we already have two points of the line, we can find its slope ($m$), its intersection with the y-axis ($b$), hence its point-slope form equation in the following way:

Let's call Point 1: $(x_{1},y_{1})$  and Point 2: $(x_{2},y_{2})$

The Slope equation is:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Now, the equation of the line in its point-slope form is:

$y=mx+b$

And we can find the intersection with the y-axis ($b$) by evaluating the equation with any of the two given points and then isolating $b$.