Exploring Slope and Y-Intercept from Graphs

The video tutorial covers the slope-intercept form of a linear equation, y=mx+b, where m is the slope and b is the y-intercept. It explains how to identify and calculate the y-intercept and slope from a graph, including the significance of positive and negative slopes. The tutorial provides examples of equations in slope-intercept form and discusses special cases like horizontal and vertical lines, highlighting their unique characteristics. The video concludes with a summary of the key concepts discussed.

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

• Y-intercept

• Slope

• X-intercept

• Constant term

Where does the y-intercept of a line occur?

• At any point on the line

• At the origin

• Where the line crosses the y-axis

• Where the line crosses the x-axis

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

• By finding the y-intercept

• By counting the run over the rise between two points

• By measuring the angle of the line

• By counting the rise over the run between two points

What is the slope of a line that rises 1 unit and runs 3 units?

• 1/3

• 3

• 3/1

• 1

If a line has a negative slope, in which direction does it go?

• Horizontal

• Vertical

• Downward from left to right

• Upward from left to right

What is the equation of a line with a slope of -2 and a y-intercept of 3?

• y = -2x + 3

• y = 2x + 3

• y = 2x - 3

• y = -2x - 3

What is the slope of a horizontal line?

• Negative

• Undefined

• Positive

• Zero

What is the equation of a horizontal line that crosses the y-axis at 5?

• y = 0

• x = 0

• x = 5

• y = 5

What is the slope of a vertical line?

• Positive

• Negative

• Undefined

• Zero

What is the equation of a vertical line that crosses the x-axis at -3?

• x = -3

• y = -3

• x = 3

• y = 3