Find the equation of a line perpendicular to a line through a point

The video tutorial explains how to write new equations of lines in slope-intercept form, focusing on finding perpendicular lines. It covers the concept of opposite reciprocal slopes and demonstrates how to calculate the new slope and Y-intercept using given points. The tutorial concludes with finalizing the equation of the line.

What is the general form of a line's equation in slope-intercept form?

• Y = MX + B

• Y = B + MX

• X = MY + B

• B = YX + M

If a line has a slope of -2, what would be the slope of a line perpendicular to it?

• 1/2

• 2

• -2

• -1/2

Why is it important to find the new Y-intercept when determining the equation of a perpendicular line?

• Because it is always the same as the original line's Y-intercept

• Because it determines the line's position on the graph

• Because it is not needed for the equation

• Because it changes the slope of the line

What is the value of B if the point (-3, -2) is used in the equation y = 1/2 X + B?

• -1/2

• 1/2

• -3/2

• 2

What is the final equation of the line after solving for B using the point (-3, -2)?

• y = 1/2 X - 1

• y = 1/2 X + 1

• y = 1/2 X - 1/2

• y = 1/2 X + 1/2