Understanding Slope and Y-Intercept

The video tutorial explains how to determine the slope (m) and y-intercept (b) of a line from its graph. It begins by identifying the y-intercept as the point where the line crosses the vertical axis. The slope is calculated using the vertical and horizontal changes between two points on the line. An alternative method using the slope formula is also demonstrated. Finally, the equation of the line in slope-intercept form is derived.

What are we asked to determine from the graph of the line?

• The slope and the x-intercept

• The slope and the y-intercept

• The x-intercept and the y-intercept

• The equation of the line in point-slope form

Where does the line intersect the vertical axis?

• At the point (10, 0)

• At the point (-10, 0)

• At the point (0, 10)

• At the point (0, -10)

What is the y-intercept of the line?

• -10

• 10

• 0

• 2

How do we calculate the slope using the graph?

• By dividing the horizontal change by the vertical change

• By dividing the vertical change by the horizontal change

• By adding the vertical change to the horizontal change

• By multiplying the vertical change by the horizontal change

What is the slope of the line if the vertical change is -8 and the horizontal change is 2?

• 4

• -4

• 8

• -8

Which formula can be used as an alternative to find the slope?

• The distance formula

• The quadratic formula

• The point-slope formula

• The slope formula using change in y and change in x

What is the result of subtracting the y-coordinates of the two points used in the slope formula?

• 2

• -2

• 8

• -8

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

• y = 4x + 10

• y = -4x - 10

• y = 4x - 10

• y = -4x + 10

What value is substituted for b in the equation of the line?

• 4

• -4

• 10

• -10

What is the common way to write the equation instead of using plus negative?

• Using minus negative

• Using minus positive

• Using plus positive

• Using minus