Finding the Slope-Intercept Equation from Two Points

This video tutorial explains how to write the equation of a line in slope-intercept form (y = mx + b) when given two points. The instructor goes through three examples, demonstrating how to calculate the slope (m) and y-intercept (b) for each. The first example covers basic calculations, the second involves negative numbers, and the third is a more complex scenario. The video concludes with a summary and encourages viewers to practice the examples independently.

What is the general form of the slope-intercept equation?

• y = m + bx

• y = ax^2 + bx + c

• y = mx + b

• y = mx - b

Given points (3,2) and (6,3), what is the slope (m) of the line?

• 1/2

• 1/3

• 2/3

• 3/2

For the points (3,2) and (6,3), what is the y-intercept (b) of the line?

• 0

• 3

• 2

• 1

What is the equation of the line passing through points (3,2) and (6,3)?

• y = 3x + 1

• y = 1/2x + 2

• y = 2x + 3

• y = 1/3x + 1

Given points (-2,3) and (8,8), what is the slope (m) of the line?

• 1/2

• 1/3

• 2/3

• 3/2

For the points (-2,3) and (8,8), what is the y-intercept (b) of the line?

• 4

• 5

• 3

• 2

What is the equation of the line passing through points (-2,3) and (8,8)?

• y = 1/2x + 1

• y = 1/2x + 4

• y = 2x + 3

• y = 3x + 1

Given points (2,9) and (-2,1), what is the slope (m) of the line?

• 4

• 3

• 2

• 1

For the points (2,9) and (-2,1), what is the y-intercept (b) of the line?

• 5

• 4

• 3

• 2

What is the equation of the line passing through points (2,9) and (-2,1)?

• y = 3x + 1

• y = 2x + 5

• y = 2x + 1

• y = 2x + 4