Slope, Intercepts, and Linear Functions

This video tutorial covers solving linear equations, matching graphs to real-world situations, verifying points on a line, finding solutions and x-intercepts, and determining coordinates of points on a line. It provides step-by-step examples and explanations to enhance understanding of these mathematical concepts.

What is the value of y when x is -3 in the equation y = 6x + 8?

• -10

• -18

• 10

• 18

In the equation y = 2/3x, what is x when y equals 2?

• -3

• 3

• -2

• 2

Which situation best matches a graph with a positive slope and a y-intercept at the origin?

• Calories consumed by eating crackers

• Distance left in a car ride

• Temperature of a gas being warmed

• Weight of a kitten after birth

What does a negative slope on a graph typically represent in a real-world context?

• Increasing temperature

• Decreasing distance

• Increasing weight

• Constant speed

Do the points (6, 13) and (21, 33) lie on the line y = 4/3x + 5?

• Only the second point lies on the line

• No, neither point lies on the line

• Yes, both points lie on the line

• Only the first point lies on the line

Is the point (12, 4) a solution to the equation y = 1/4x + 5/4?

• Yes, it is a solution

• No, it is not a solution

• It depends on the value of x

• It depends on the value of y

What is the x-intercept of the equation y = 1/4x + 5/4?

• 1

• 5

• -5

• 0

If line AB is 5 units and BC is 10 units, what is the y-coordinate of point C if point B is at (3, -5)?

• -5

• 5

• 0

• 10

What is the slope of a line if the rise is 10 and the run is 5?

• 2

• 1

• 0.5

• 5

What is the missing y-coordinate for point D if the slope is 2 and point C is at (3, 5)?

• -1

• 1

• 2

• 0