Understanding Slope and Its Calculations

In this lesson, students learn to calculate the slope from two points. The teacher reviews integer operations and guides students through exercises to find values for equations. Students plot points on a graph, draw lines, and determine if the slope is positive or negative. The lesson covers the slope formula, emphasizing the change in y-values over x-values. Students practice calculating slopes using given points and the formula, reinforcing their understanding of positive and negative slopes.

What is the goal of today's lesson?

• To learn about integer addition

• To explore geometric shapes

• To understand multiplication of fractions

• To calculate slope from two points

If a divided by b equals negative two, which of the following could be true?

• a = 4, b = -2

• a = 4, b = 2

• a = -4, b = -2

• a = -4, b = 2

When plotting two points on a graph, how can you tell if the slope is negative?

• The line goes upwards from left to right

• The line is horizontal

• The line goes downwards from left to right

• The line is vertical

What is the formula for calculating slope using two points?

• m = x1 - x2 / y1 - y2

• m = y2 - y1 / x2 - x1

• m = x2 - x1 / y2 - y1

• m = y1 - y2 / x1 - x2

If the slope of a line is calculated as -9/7, what does this indicate about the line?

• The line slopes upwards

• The line is vertical

• The line slopes downwards

• The line is horizontal

In the slope formula, what does 'y2 - y1' represent?

• The average distance between two points

• The total distance between two points

• The vertical distance between two points

• The horizontal distance between two points

What is the slope of a line passing through points (4, -11) and (7, -8)?

• 0

• -1

• 3

• 1

How do you simplify the fraction 3/3 when calculating slope?

• It simplifies to 3

• It simplifies to 0

• It simplifies to 1

• It remains 3/3

What is the slope of a line if the vertical change is 9 and the horizontal change is 7?

• -7/9

• 9/7

• 7/9

• -9/7

What is the result of dividing a negative number by another negative number?

• A positive number

• It depends on the numbers

• A negative number

• Zero