Understanding Slope-Intercept Form

The video tutorial introduces the slope-intercept form of a line, represented as y=mx+b, where m is the slope and b is the y-intercept. It explains the concept of the y-intercept as the point where the line crosses the y-axis. The tutorial demonstrates how to calculate the slope by selecting two points on the line and forming a right triangle to determine the rise over run. The slope is then used to formulate the equation of the line by plugging in the slope and y-intercept values. The video concludes with an overview of the key concepts discussed.

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

• The midpoint of the line

• The slope of the line

• The y-intercept

• The x-intercept

How can you identify the y-intercept on a graph?

• It's the highest point on the line

• It's where the line crosses the y-axis

• It's where the line crosses the x-axis

• It's the midpoint of the line

If a line has a y-intercept of 3, where does it cross the y-axis?

• At (0, -3)

• At (-3, 0)

• At (3, 0)

• At (0, 3)

How do you calculate the slope of a line using two points?

• By multiplying the x and y coordinates

• By dividing the change in y by the change in x

• By subtracting the y-coordinates

• By adding the x-coordinates

What is the slope of a line that goes down 3 units and over 2 units?

• -2/3

• 2/3

• -3/2

• 3/2