Understanding Linear Equations

The video tutorial from MooMooMath introduces linear equations and demonstrates how to check if a given point is a solution to a linear equation. The example equation y = -3x + 5 is used, with a focus on understanding the slope and y-intercept. The tutorial explains the process of verifying if the point (2, -1) lies on the line by substituting the x-value into the equation and checking if the resulting y-value matches. The video concludes by confirming that the point is indeed a solution, reinforcing the concept of solution verification for linear equations.

What is the slope of the linear equation y = -3x + 5?

• 5

• -3

• 3

• -5

What is the y-intercept of the equation y = -3x + 5?

• -3

• 0

• -5

• 5

How can you verify if a point is a solution to a linear equation?

• By solving for x and y separately

• By drawing the line and seeing if the point is on it

• By substituting the x-value and checking if the resulting y-value matches

• By checking if the x-value equals the y-value

What is the result of substituting x = 2 in the equation y = -3x + 5?

• 0

• 2

• -1

• 1

Does the point (2, -1) lie on the line represented by the equation y = -3x + 5?

• No

• Yes

• Only if y is negative

• Only if x is positive