Using point slope form find a perpendicular line through a point

The video tutorial explains how to find a line that is perpendicular to a given line and passes through a specific point. It begins by introducing the problem and discussing the concept of perpendicular lines having opposite reciprocal slopes. The tutorial then guides viewers through calculating the new slope, forming the equation, and solving for the Y-intercept using the given point. Finally, it demonstrates how to finalize the equation for the perpendicular line.

What is the slope of a line that is perpendicular to a line with a slope of 1/2?

• -1/2

• 1/2

• -2

• 2

Which form is used to find the equation of a line in this problem?

• Slope-intercept form

• Quadratic form

• Standard form

• Point-slope form

Why can't the y-intercept of the original line be used for the perpendicular line?

• Because they have different slopes

• Because they rarely intersect at the same point

• Because they have the same slope

• Because they are parallel

What is the y-intercept of the line that is perpendicular to y = 1/2x + 9 and passes through the point (-7, -4)?

• -9

• 9

• 18

• -18

What is the final equation of the line that is perpendicular to y = 1/2x + 9 and passes through (-7, -4)?

• y = 2x + 18

• y = -2x - 18

• y = -2x + 18

• y = 2x - 18