Understanding Linear Equations and Slopes

This video tutorial covers Math 8 Unit 3 Lesson 10 on calculating slope. It begins with an introduction to slope, followed by plotting points and estimating whether the slope is positive or negative. The tutorial then provides a detailed explanation of calculating slope using two points and solving for missing values to achieve a given slope. Finally, it includes homework instructions and practice problems to reinforce the concepts learned.

What is the result of dividing -4 by 2?

• 2

• -2

• 0

• 4

If a line passes through points (1, 11) and (8, 2), what is the expected sign of the slope?

• Undefined

• Positive

• Negative

• Zero

How do you calculate the slope between two points?

• Subtract the x-coordinates from the y-coordinates

• Multiply the x-coordinates

• Divide the change in y by the change in x

• Add the x-coordinates and y-coordinates

What is the slope of a line passing through points (1, 11) and (8, 2)?

• 7/9

• -9/7

• 9/7

• -7/9

To find a missing value in a linear equation with a given slope, what should you do?

• Divide the y-coordinate by the slope

• Multiply the slope by the x-coordinate

• Use the slope formula and solve algebraically

• Guess the value

If the slope of a line is -1/2, what does this indicate about the line's direction?

• The line is horizontal

• The line is vertical

• The line is decreasing

• The line is increasing

What is the slope of a line through points (6, 4) and (2, 8)?

• 1/3

• -2

• 2

• -1/3

Which point does a line with a slope of -3 pass through if it starts at point A?

• Point C

• Point E

• Point B

• Point D

What is the equation of a line with a slope of 4 and a y-intercept of -2?

• y = -4x + 2

• y = 4x - 2

• y = -4x - 2

• y = 4x + 2

If a line has a slope of 4, what is the rise over run?

• -1 over 4

• -4 over 1

• 1 over 4

• 4 over 1