Understanding Slope-Intercept Form

The video tutorial explains how to determine the equation of a line in slope-intercept form, y = mx + b, using a graph. It identifies the y-intercept from the graph and calculates the slope using both graphical methods and the slope formula. The tutorial demonstrates how to substitute these values into the slope-intercept form to write the equation of the line. It also provides a brief explanation of the homework task related to the topic.

What is the y-intercept of the line given in the graph?

• 6

• -6

• -4

• 0

How do you calculate the slope of a line using a graph?

• By subtracting the horizontal change from the vertical change

• By dividing the horizontal change by the vertical change

• By dividing the vertical change by the horizontal change

• By adding the vertical and horizontal changes

What is the simplified form of the slope -6/4?

• 3/2

• 2/3

• -2/3

• -3/2

Which formula can be used to verify the slope calculation?

• Slope = (y1 - y2) / (x1 - x2)

• Slope = (y2 - y1) / (x2 - x1)

• Slope = (x2 - x1) / (y2 - y1)

• Slope = (x1 - x2) / (y1 - y2)

What is the final equation of the line in slope-intercept form?

• y = -3/2x + 6

• y = 3/2x - 6

• y = -3/2x - 6

• y = 3/2x + 6