Exploring Slope and Y-Intercept on Graphs

The video tutorial explains how to find the slope from a graph by identifying two points and drawing a triangle. It covers how to determine if the slope is positive or negative and introduces the concept of the y-intercept. The tutorial also demonstrates how to calculate the slope (M) and y-intercept (B) for different graphs, emphasizing the importance of these concepts in the formula y = MX + B.

What is the first step in finding the slope from a graph?

• Draw a triangle

• Place two points on the graph

• Determine if the slope is positive or negative

• Calculate the y-intercept

How do you determine if a slope is positive or negative?

• By using a calculator

• By looking at the direction of the line from left to right

• By checking the y-intercept

• By counting the number of squares

What is the y-intercept?

• The steepness of the line

• The slope of the line

• The point where the line crosses the y-axis

• The point where the line crosses the x-axis

In the equation y = mx + b, what does 'b' represent?

• The y-intercept

• The rise over run

• The slope

• The x-intercept

If a line has a slope of 2 and a y-intercept of -3, what is the equation of the line?

• y = -2x + 3

• y = -3x + 2

• y = 2x - 3

• y = 3x - 2

What is the slope of a line that rises 3 units and runs 2 units?

• 2

• 1/2

• 2/3

• 3/2

If a line has a slope of -1/2 and a y-intercept of 4, what is the equation of the line?

• y = 1/2x - 4

• y = 4x - 1/2

• y = -4x + 1/2

• y = -1/2x + 4

How do you find the y-intercept on a graph?

• By drawing a triangle

• By finding where the line crosses the y-axis

• By calculating the slope

• By finding where the line crosses the x-axis

What is the slope of a line that rises 6 units and runs 1 unit?

• 6/1

• 1

• 6

• 1/6

If a line has a slope of -3/2 and a y-intercept of 1/2, what is the equation of the line?

• y = -3/2x + 1/2

• y = 1/2x - 3/2

• y = -1/2x + 3/2

• y = 3/2x - 1/2