Question

How to find the point-slope form of an equation that passes through two sets of points?

Answer 1

Given two points, say points A and B, we can use the slope formula to find the slop of the line:
$\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

If A has coordinates of (w,c) and B has coordinates of (y,z), we can find the slope.
$\frac{z-c[tex]y-w= \frac{z-x}{y-w} (x-c)$}{y-w} [/tex]

Now we can say that we can use the point slope form formula:
$y-y_{1}=m(x-x_{1})$

Now we can substitute m for the slope, and use any points to plug in $x_{1}$ and $y_{1}$.

Hope this helps! :^)