Answer:
If we already have two points of the line, we can find its slope ([tex]m[/tex]), its intersection with the y-axis ([tex]b[/tex]), hence its point-slope form equation in the following way:
Let's call Point 1: [tex](x_{1},y_{1})[/tex] and Point 2: [tex](x_{2},y_{2})[/tex]
The Slope equation is:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Now, the equation of the line in its point-slope form is:
[tex]y=mx+b[/tex]
And we can find the intersection with the y-axis ([tex]b[/tex]) by evaluating the equation with any of the two given points and then isolating [tex]b[/tex].
