Finding the Equation of a Line from a Graph

The video tutorial explains how to determine the equation of a line in slope-intercept form, which is y = mx + b. It covers the concepts of slope and y-intercept, explaining that the slope is the ratio of vertical change to horizontal change, and the y-intercept is where the line crosses the y-axis. The tutorial demonstrates how to calculate the slope by selecting two points on a graph and using their coordinates. It also shows how to find the linear equation using the slope and y-intercept. An alternative method using a formula to verify the slope is also discussed.

What is the general form of a linear equation in slope-intercept form?

• Y = MX + B

• Y = AX + B

• Y = CX + D

• Y = BX + C

In the equation Y = MX + B, what does 'M' represent?

• The y-intercept

• The slope

• The x-intercept

• The constant term

How is the slope of a line defined?

• The ratio of the vertical change to the horizontal change

• The point where the line crosses the y-axis

• The ratio of the horizontal change to the vertical change

• The point where the line crosses the x-axis

What is the y-intercept of a line?

• The point where the line crosses the x-axis

• The slope of the line

• The point where the line crosses the y-axis

• The change in y divided by the change in x

Which points were selected to determine the slope in the example?

• (2,2) and (4,4)

• (3,3) and (6,5)

• (1,1) and (2,2)

• (0,0) and (1,1)

How many units do you move up and right to go from (3,3) to (6,5)?

• Up 3 units, right 2 units

• Up 2 units, right 3 units

• Up 1 unit, right 4 units

• Up 4 units, right 1 unit

What is the slope of the line determined from the points (3,3) and (6,5)?

• 1/2

• 2/3

• 3/2

• 1/3

Where does the line intersect the y-axis in the example?

• At +1

• At 0

• At +2

• At -1

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

• Y = 1/2X + 2

• Y = 3/2X + 1

• Y = 2X + 3

• Y = 2/3X + 1

Which formula can be used to verify the slope of a line?

• M = Y2 + Y1 / X2 + X1

• M = X2 - X1 / Y2 - Y1

• M = Y2 - Y1 / X2 - X1

• M = X2 + X1 / Y2 + Y1