Finding the Equation of a Line in Slope-Intercept Form

Allison, a math teacher, explains how to find the equation of a line in slope-intercept form. She uses two points to calculate the slope and then finds the Y-intercept by substituting one of the points into the equation. The tutorial concludes with a summary of the steps involved in deriving the equation.

What are the two points used in the example?

• (2, 3) and (5, 6)

• (5, 3) and (2, 6)

• (3, 2) and (6, 5)

• (3, 5) and (6, 2)

What does 'm' represent in the slope-intercept form y = mx + b?

• The y-coordinate

• The slope

• The y-intercept

• The x-coordinate

How do you calculate the slope using two points?

• Sum of x-coordinates divided by sum of y-coordinates

• Sum of x and y coordinates

• Difference in y-coordinates divided by difference in x-coordinates

• Product of x and y coordinates

What is the slope of the line that joins the points (3, 5) and (6, 2)?

• 7/3

• 3/7

• 2/5

• 5/2

What is the next step after finding the slope in the slope-intercept form?

• Find the y-intercept

• Find the midpoint

• Find the x-intercept

• Find another point

Which point is used to find the y-intercept in the example?

• (5, 6)

• (2, 3)

• (3, 5)

• (6, 2)

What is the y-intercept (b) in the equation y = 7/3x + b?

• -2

• -7

• 2

• 7

What is the final equation of the line in the example?

• y = 7/3x + 2

• y = 7/3x - 2

• y = 3/7x + 2

• y = 3/7x - 2

What is the purpose of using two points to find the equation of a line?

• To find the slope and y-intercept

• To find the midpoint

• To find the distance between points

• To find the x-intercept

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