Understanding Slope-Intercept Form

The video tutorial explains how to find the equation of a line in slope-intercept form, y = mx + b. It begins by identifying the y-intercept by inspecting the graph where the line crosses the y-axis. The y-intercept is found to be 3. Next, the tutorial calculates the slope by determining the change in y over the change in x between two points on the line, resulting in a slope of -2/5. Finally, the equation of the line is written as y = -2/5x + 3.

What is the general form of the slope-intercept equation?

• y = mx + b

• y = ax^2 + bx + c

• y = a/x + b

• y = mx^2 + b

In the slope-intercept form, what does 'b' represent?

• The slope of the line

• The x-intercept

• The y-intercept

• The midpoint of the line

How can you find the y-intercept from a graph?

• By finding where the line crosses the y-axis

• By finding where the line crosses the x-axis

• By finding the midpoint of the line

• By calculating the slope

What is the y-intercept of the line if it crosses the y-axis at y = 3?

• 0

• 3

• -3

• 5

What does the slope of a line represent?

• The x-intercept

• The y-intercept

• The change in y for a given change in x

• The change in x for a given change in y

If a line moves 5 units in the x-direction and 2 units down in the y-direction, what is the slope?

• 5/2

• 2/5

• -5/2

• -2/5

How do you calculate the slope from two points on a line?

• Divide the change in y by the change in x

• Divide the change in x by the change in y

• Multiply the change in x by the change in y

• Subtract the change in y from the change in x

What is the equation of a line with a slope of -2/5 and a y-intercept of 3?

• y = 5/2x - 3

• y = -5/2x + 3

• y = 2/5x - 3

• y = -2/5x + 3

Which part of the equation y = mx + b is affected by the steepness of the line?

• y

• x

• b

• m

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

• Finding the x-intercept

• Calculating the midpoint

• Combining the slope and y-intercept

• Finding the slope