Writing Equations for Lines with Given Points

Maria, a mathematician, explains how to write the equation of a line given two points. She introduces the slope-intercept form of the equation and demonstrates how to calculate the slope using the formula (Y2 - Y1) / (X2 - X1). After finding the slope, she shows how to determine the y-intercept by substituting the slope and one of the points into the equation. Finally, she combines these elements to write the complete equation of the line.

What are the given points through which the line passes?

• (0, 0) and (1, 1)

• (5, 7) and (7, 9)

• (1, 3) and (3, 5)

• (2, 4) and (4, 6)

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

• y = mx + b

• y = mx - b

• y = m + bx

• y = b - mx

In the equation y = mx + b, what does 'm' represent?

• The slope

• The constant term

• The y-intercept

• The x-coordinate

How do you label the coordinates of the first point?

• X1, Y1

• X2, Y2

• X, Y

• A, B

What is the formula for calculating the slope between two points?

• (Y2 - Y1) / (X2 - X1)

• (X1 - X2) / (Y1 - Y2)

• (X2 - X1) / (Y2 - Y1)

• (Y1 - Y2) / (X1 - X2)

What is the slope of the line passing through the points (2, 4) and (4, 6)?

• 2

• 1

• 3

• 0.5

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

• (2, 4)

• (4, 6)

• (1, 3)

• (0, 0)

What is the y-intercept (b) of the line?

• 4

• 6

• 2

• 1

What is the final equation of the line?

• y = 2x - 1

• y = x - 2

• y = 2x + 1

• y = x + 2

What should you always leave alone in the final equation?

• X and B

• M and Y

• M and B

• X and Y