What is a form of writing a linear equations when you are given 2 points?

To write a linear equation when given two points, you can use the slope-intercept form, (y = mx + b), where (m) is the slope and (b) is the y-intercept. First, calculate the slope (m) using the formula (m = \frac{y_2 - y_1}{x_2 - x_1}). Then, substitute one of the points into the equation to solve for (b). Finally, write the complete equation using the slope and y-intercept.