Finding Equations of Altitudes

The video tutorial explains how to find the equation of an altitude using the slope and a point it passes through. The instructor demonstrates the process by using the slope formula and solving for y to derive the equation in slope-intercept form. The final equation of the altitude is determined to be y equals half x.

What is the initial step in determining the equation of an altitude with a known slope?

• Identify the y-intercept

• Determine the slope

• Find a point on the line

• Calculate the midpoint

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

• Point Q

• Point S

• Point P

• Point R

What is the slope of the altitude in this problem?

• 2/3

• 1/2

• 3/4

• 1/3

What is the next step after identifying the slope and a point on the line?

• Calculate the distance

• Set up the equation using the slope formula

• Determine the y-intercept

• Find the midpoint

What is the value of y when x is 8 in this problem?

• 6

• 4

• 8

• 2

What operation is performed after setting up the equation to solve for y?

• Addition

• Subtraction

• Cross-multiplication

• Division

What is the result of cross-multiplying in this problem?

• 2x - 8

• x + 4

• y + 4

• 2y - 8

What is the final step to isolate y in the equation?

• Add 8 to both sides

• Subtract 8 from both sides

• Multiply by 2

• Divide by 2

What is the final equation of the altitude?

• y = 3/2x

• y = 1/2x

• y = 2x

• y = x

What does the equation y = 1/2x represent in this context?

• The midpoint of the line

• The y-intercept of the line

• The slope of the line

• The equation of the altitude