Understanding Slope and Intercept from a Graph

The video tutorial explains how to analyze a graph to determine the slope and vertical intercept of a line. It begins by identifying the vertical intercept from the graph, followed by a detailed explanation of how to find the slope both graphically and using the slope formula. Finally, it demonstrates how to write the equation of a line in slope-intercept form using the calculated slope and intercept.

What is the first step in solving the problem of finding the slope and intercept from a graph?

• Identify the scaling of the axes

• Calculate the slope using the formula

• Find the horizontal intercept

• Draw a new line parallel to the given line

How do you determine the vertical intercept from a graph?

• By finding the point where the line crosses the horizontal axis

• By calculating the slope first

• By identifying the point where the line crosses the vertical axis

• By measuring the distance between two points on the line

What is the vertical intercept of the line in the given problem?

• (0, 10)

• (0, 15)

• (15, 0)

• (10, 0)

What is the formula for calculating the slope of a line?

• Slope = (x1 + x2) / (y1 + y2)

• Slope = (x2 - x1) / (y2 - y1)

• Slope = (y1 + y2) / (x1 + x2)

• Slope = (y2 - y1) / (x2 - x1)

How do you find the slope graphically?

• By finding the ratio of vertical change to horizontal change

• By calculating the difference in x-coordinates only

• By drawing a perpendicular line

• By calculating the difference in y-coordinates only

What is the vertical change when moving from (0, 15) to (8, -30)?

• 15

• -15

• 45

• -45

What is the horizontal change when moving from (0, 15) to (8, -30)?

• 8

• 15

• 0

• -8

What is the slope of the line in the given problem?

• -8/45

• 8/45

• -45/8

• 45/8

What is the slope-intercept form of a line?

• x = b + my

• x = my + b

• y = b + mx

• y = mx + b

What is the equation of the line given the slope -45/8 and intercept 15?

• y = -8/45x + 15

• y = 8/45x - 15

• y = 45/8x - 15

• y = -45/8x + 15