Linear Equations and Graph Interpretation

In this video, Mr. Boskin guides students through solving algebraic equations by substituting values for x and y, determining if points lie on the same line, checking solutions for linear equations, and finding intercepts. The lesson also covers coordinate geometry, including finding coordinates and understanding slope. The video concludes with a graph-matching exercise to reinforce the concepts learned.

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

• -10

• -18

• 10

• 8

If y = 2/3x and x = -3, what is the value of y?

• 3

• -3

• 2

• -2

In the equation y = 3/4x - 2.5, what is y when x = -3?

• -4.25

• -3.25

• -4.75

• -2.75

Do the points (6, 13), (21, 33), and (99, 137) lie on the line y = 4/3x + 5?

• Yes, all points lie on the line

• No, none of the points lie on the line

• Only the first point lies on the line

• Only the last point lies on the line

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

• -4

• 5

• -5

• 4

If AB = 5 and BC = 10, what are the coordinates of point B if A is at (-2, -5)?

• (-2, 5)

• (3, 5)

• (3, -5)

• (-2, -10)

Which graph represents the weight of a kitten over time?

• Graph A

• Graph D

• Graph B

• Graph C

Which graph represents the distance left to travel in a car ride?

• Graph A

• Graph B

• Graph C

• Graph D

Which graph represents the temperature of a gas being warmed?

• Graph B

• Graph A

• Graph C

• Graph D

Which graph represents the calories consumed by eating crackers?

• Graph B

• Graph A

• Graph C

• Graph D