Graphing Proportional Relationships in Grade 8 Math

The video tutorial covers graphing proportional relationships, focusing on the equation y=mx. It explains the concept of slope, also known as direct variation, and how it relates to graphing lines through the origin. The tutorial includes practical examples, such as calculating costs and wages, and compares slopes to determine speed. The session concludes with a summary and encouragement to review the material.

What is the main focus of today's session?

• Graphing quadratic equations

• Graphing proportional relationships

• Understanding geometric shapes

• Solving linear equations

What does the 'm' in the equation y = mx represent?

• Intercept

• Slope

• Variable

• Constant

What is another term for proportional relationships?

• Quadratic variation

• Exponential variation

• Direct variation

• Inverse variation

In the equation y = -4/7x, what does the -4 represent?

• The constant term

• The y-intercept

• The slope

• The x-intercept

When graphing y = -4/7x, what direction do you move from the origin?

• Up 7, right 4

• Down 4, right 7

• Down 7, right 4

• Up 4, right 7

What is the simplified slope if a worker assembles 250 parts and earns 75 dollars?

• 3/10

• 4/5

• 1/3

• 10/3

How do you write the equation if the slope is 4?

• y = x + 4

• y = 4x

• y = x/4

• y = 4 + x

If student A has a slope of 7 and student B has a slope of 8, who is faster?

• Student B

• Student A

• Both are equally fast

• Cannot be determined

What does a greater slope indicate in terms of speed?

• No change in speed

• Constant speed

• Faster speed

• Slower speed

What should you do if you didn't understand the concept of graphing the slope?

• Ignore it

• Ask a friend

• Skip to the next topic

• Re-watch the video