Understanding Slope and Intercepts

The video tutorial explains how to write equations in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. It provides examples of identifying slope and y-intercept from equations and writing new equations given these values. The tutorial includes real-world applications, such as calculating costs for pottery and pizza pricing, to demonstrate the practical use of slope-intercept form.

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

• y = a/x + b

• y = mx^2 + b

• y = mx + b

• y = ax^2 + bx + c

In the equation y = 5x + 2, what is the slope?

• 0

• 2

• 5

• -5

In the equation y = 5x + 2, what is the y-intercept?

• -2

• 0

• 2

• 5

If a line has a slope of 2 and a y-intercept of 6, what is its equation?

• y = 6x + 2

• y = 2x + 6

• y = 2x - 6

• y = 6x - 2

What is the equation of a line with a slope of -4 and a y-intercept of -3?

• y = 3x + 4

• y = 4x + 3

• y = -3x - 4

• y = -4x - 3

In Mr. D's scenario, what does the x variable represent?

• Total cost

• Equipment fee

• Membership fee

• Number of hours

In Mr. D's scenario, what does the y variable represent?

• Total cost

• Number of hours

• Membership fee

• Equipment fee

What is the y-intercept in Mr. D's cost equation?

• 0

• 3

• 8

• 15

What is the slope in Mr. D's cost equation?

• 3

• 15

• 8

• 0

What is the equation for Mr. D's monthly cost?

• y = 3x + 15

• y = 15x + 3

• y = 3x - 15

• y = 15x - 3