Understanding Slope and Intercepts

The video tutorial explains how to write a function rule using the equation y = mx + b. It covers finding the y-intercept from a graph, determining the slope by identifying good points, and constructing the final equation. The tutorial emphasizes checking the scale and ensuring the slope's sign is correct.

What is the general form of a linear function?

• y = x^2 + bx + c

• y = mx + b

• y = ax^2 + bx + c

• y = a/x

Where can you find the y-intercept on a graph?

• On the x-axis

• At the origin

• Where the line crosses the y-axis

• At the highest point of the line

What is the y-intercept of a line that crosses the y-axis at -2?

• -2

• 2

• 0

• 1

How do you determine the slope of a line on a graph?

• By measuring the angle of the line

• By counting the number of grid squares the line crosses

• By finding two points and calculating rise over run

• By finding the midpoint of the line

What should you do if the graph does not have pre-selected points?

• Use the origin as a point

• Select any two random points

• Find points where the line crosses grid intersections

• Estimate the slope visually

What does a positive slope indicate about the direction of a line?

• The line falls from left to right

• The line rises from left to right

• The line is horizontal

• The line is vertical

If a line goes over 3 units and up 2 units, what is the slope?

• 2/3

• 3/1

• 3/2

• 1/2

How can you verify the scale of a graph?

• By checking the labels on the axes

• By measuring the length of the line

• By counting the number of grid squares

• By looking at the color of the graph

What is the final equation if the slope is 2/3 and the y-intercept is -2?

• y = 2/3x + 2

• y = 3/2x - 2

• y = 2/3x - 2

• y = -2/3x + 2

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

• The y-intercept

• The constant term

• The slope

• The x-intercept