How to find an equation to a line perpendicular and through a point

The video tutorial explains how to find equations of lines that are parallel and perpendicular to a given line using the slope-intercept method. It highlights the importance of understanding that parallel lines have the same slope, while perpendicular lines have opposite reciprocal slopes. The tutorial walks through the process of calculating the perpendicular slope, solving for the y-intercept, and finalizing the equation. The main focus is on the differences in slopes between parallel and perpendicular lines and how to apply these concepts to find the correct equations.

Describe the process of finding the y-intercept (B) when given a slope and a point.

What is the final equation of the line that is perpendicular to the line with slope 3/8 and passes through the point (4, -10)?