Question

What is the equation in point-slope form of the line passing through (–2, 1) and (4, 13)?

Answer 1

Given two points \((x_1,y_1)\) and \((x_2,y_2)\), you can find the equation of the line passing through them by computing\[y=m(x-x_1)+y_1,\]where\[m=\frac{y_2-y_1}{x_2-x_1}.\]