Write the equation of a perpendicular line using point slope form

The video tutorial explains how to find the equation of a line that is perpendicular to a given line and passes through a specific point. It covers the concept of opposite reciprocal slopes for perpendicular lines and demonstrates using the point-slope form to derive the new line equation. The tutorial provides a step-by-step solution, including simplifying the equation and finding the y-intercept.

What is the slope of a line that is perpendicular to a line with a slope of -4/5?

• -5/4

• 5/4

• 4/5

• -4/5

In point-slope form, what do the variables x1 and y1 represent?

• A specific point on the line

• Any point on the line

• The y-intercept of the line

• The slope of the line

When using point-slope form, why is it important to use parentheses around the expression (x - x1)?

• To ensure the correct order of operations

• To make the equation look neat

• To avoid confusion with the slope

• To simplify the equation

What is the y-intercept of the line with the equation y = 5/4x + 31/4?

• 15/4

• 4

• 31/4

• 5/4

How do you convert a whole number to a fraction when adding it to another fraction?

• Convert the whole number to a decimal

• Divide the whole number by the numerator

• Add the whole number directly to the numerator

• Multiply the whole number by the denominator of the fraction