Find the equation of a line through a point with a given graph

The video tutorial explains how to find the equation of a line given a point and a slope. It starts by introducing the slope-intercept form of a line equation, Y = MX + B, where M is the slope and B is the Y-intercept. The tutorial demonstrates how to plug in a given point and slope into the equation to solve for the Y-intercept. It then verifies the correctness of the equation by checking if the point satisfies the equation. The process is broken down into clear steps, ensuring a comprehensive understanding of finding line equations.

What is the slope-intercept form of a line?

How do you determine the Y-intercept (B) when given a point and a slope?

Explain the process of verifying if a point lies on a line defined by an equation.

Why is it important to check if the equation is true for the given point?

What steps would you take to find the equation of a line given a slope of -2 and a point (-4, 6)?