Graphing Proportional Relationships with Slope

The video tutorial explains how to graph proportional relationships using equations in the form of y=kx or y=mx, where k and m represent the constant of proportionality and slope, respectively. It covers the concept of slope as rise over run and demonstrates graphing lines with both positive and negative slopes. The tutorial also explains how to handle whole number slopes by converting them into fractions. The video concludes with tips on graphing and emphasizes the importance of understanding positive and negative slopes.

What is the general form of a proportional relationship equation?

• y = kx or y = mx

• y = k + x

• y = k - x

• y = k / x

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

• The constant of proportionality

• The y-intercept

• The slope

• The x-intercept

What does the 'rise' in the slope represent?

• The horizontal change between points

• The vertical change between points

• The total distance between points

• The constant of proportionality

In the equation y = 4/3x, what does the '4' represent?

• The y-intercept

• The x-intercept

• The run

• The rise

What is the starting point for graphing any proportional relationship?

• (1,1)

• (0,0)

• (0,1)

• (1,0)

How do you graph a negative slope?

• Go down and to the right

• Go up and to the right

• Go down and to the left

• Go up and to the left

In the equation y = -1/4x, what does the '-1' indicate?

• The run

• The rise

• The y-intercept

• The x-intercept

How can you convert a whole number slope into a fraction?

• By subtracting 1 from it

• By dividing it by 1

• By adding 1 to it

• By multiplying it by 1

In the equation y = 3x, what is the rise and run when converted to a fraction?

• Rise: 3, Run: 3

• Rise: 1, Run: 1

• Rise: 3, Run: 1

• Rise: 1, Run: 3

What should you always remember about the direction of movement when graphing?

• Always move to the left

• Always move to the right

• Always move up

• Always move down