Find the equation of a line given the slope and a point

The video tutorial explains how to write an equation in slope-intercept form given a slope and a point. It begins with an introduction to the slope-intercept form, y = mx + b, and its components: slope (m) and y-intercept (b). The teacher guides students through identifying the slope and a point on the line, graphing these points, and solving for the y-intercept. The tutorial concludes with writing the final equation in slope-intercept form.

What do the variables 'x' and 'y' represent in the slope-intercept equation?

Explain how to determine the coordinates of a point that lies on the line.

What steps would you take to solve for 'b' using the slope and a known point?