Understanding Slope and Intercepts

The video tutorial covers the concept of slope-intercept form, represented as y = mx + b, where m is the slope and b is the y-intercept. It explains how to identify these components in linear equations and demonstrates graphing them on a coordinate plane. The tutorial also includes transforming equations from standard form to slope-intercept form, providing step-by-step instructions for each example. The session concludes with practical graphing exercises using GeoGebra, reinforcing the understanding of plotting lines based on slope and y-intercept.

What does the 'M' represent in the equation y = MX + B?

• The y-intercept

• The constant term

• The slope

• The x-intercept

In the equation y = 4/5x - 5, what is the y-intercept?

• 0

• 5

• 4/5

• -5

How do you convert the equation 5x + 4y = 8 into slope-intercept form?

• y = 4/5x + 2

• y = -4/5x - 2

• y = -5/4x + 2

• y = 5/4x - 2

What is the slope of the line represented by the equation y = -4/3x + 4?

• -3/4

• 4/3

• -4/3

• 3/4

If a line has a slope of 5/2 and a y-intercept of 0, where does it cross the y-axis?

• At 5

• At 2

• At 0

• At -5

What is the first step in graphing the equation y = 2x - 6?

• Draw a line through the origin

• Plot the point (0, 2) on the y-axis

• Plot the point (0, -6) on the y-axis

• Plot the point (2, 0) on the x-axis

How do you express a slope of -5 as a fraction?

• -1/5

• 5/-1

• -5/1

• 1/-5

In the equation y = 2/5x + 6, what is the rise and run?

• Rise of 2, run of 5

• Rise of 5, run of 2

• Rise of 6, run of 2

• Rise of 5, run of 6

What is the y-intercept of the line y = 1/3x + 1?

• 0

• 1

• 1/3

• 3

Which tool is used to graph the equations in the video?

• Graphing Calculator

• Excel

• Desmos

• GeoGebra