Understanding Slope and Y-Intercept

The video tutorial covers the calculation of the slope and y-intercept of a line given two points. It begins with graphing the points and drawing a line through them. The slope is calculated using the rise over run method, and the y-intercept is determined algebraically. The tutorial concludes with a second example to reinforce the concepts.

What are the coordinates of the first point plotted in the video?

• (-3, -3)

• (2, 5)

• (-5, -2)

• (5, 2)

How is the slope of a line calculated?

• Sum of x and y

• Run over rise

• Rise over run

• Change in x over change in y

What is the slope of the line connecting the points (2, 5) and (-3, -3)?

• 5/3

• 3/5

• 8/5

• 5/8

What does the term 'rise' refer to in the context of slope?

• Horizontal change

• Vertical change

• No change

• Diagonal change

What is the y-intercept of the line with the equation y = 8/5x + b?

• 5/9

• 1.8

• 9/5

• 2

What is the final equation of the line derived in the video?

• y = 9/5x + 8/5

• y = 8/5x + 9/5

• y = 5/8x + 9/5

• y = 8/5x + 2

What are the coordinates of the second point in the new problem?

• (2, -3)

• (-4, 5)

• (-2, 3)

• (4, -5)

What is the slope of the line connecting the points (2, -3) and (-4, 5)?

• -3/4

• 3/4

• -4/3

• 4/3

In the new problem, what is the change in y when calculating the slope?

• 8

• 6

• -6

• -8

What is the change in x for the slope calculation in the new problem?

• 6

• -6

• -8

• 8