Understanding Slope-Intercept Form

The video tutorial explains how to determine the equation of a line in slope-intercept form, which is y = mx + b. It reviews the components of the equation, where m is the slope and b is the y-intercept. The slope is defined as the ratio of the vertical change to the horizontal change. The tutorial demonstrates how to analyze a graph to find the slope and y-intercept by selecting two points with integer coordinates. It calculates the slope as -1/4 and the y-intercept as -2, leading to the final equation y = -1/4x - 2.

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

• X = MY + B

• Y = B + MX

• B = YX + M

• Y = MX + B

In the slope-intercept form, what does 'M' represent?

• The y-intercept

• The slope of the line

• The x-intercept

• The midpoint of the line

How is the slope of a line calculated?

• By dividing the change in x by the change in y

• By dividing the change in y by the change in x

• By multiplying the change in y by the change in x

• By adding the change in y to the change in x

If a line passes through the points (-4, -1) and (4, -3), what is the slope?

• -2/8

• 1/4

• 2/8

• -1/4

What is the vertical change when moving from point (-4, -1) to point (4, -3)?

• 2

• -2

• 8

• -8

Where does the line cross the y-axis in the given example?

• At y = 2

• At y = 0

• At y = -2

• At y = -1

What is the y-intercept of the line in the example?

• 2

• 0

• -1

• -2

How should the equation be written if the y-intercept is -2?

• Y = -1/4X - 2

• Y = -1/4X + -2

• Y = -1/4X + 2

• Y = -1/4X

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

• Y = -1/4X + 2

• Y = -1/4X - 2

• Y = 1/4X - 2

• Y = 1/4X + 2