Understanding Linear Equations and Solutions

This video tutorial from MooMoo Math explains linear equations, focusing on the equation y = mx + b. It covers how to determine if a given point is a solution to the equation by substituting the x-value and checking if the resulting y-value matches. The tutorial provides a step-by-step example using the equation y = -3x + 5 to verify if the point (2, -1) lies on the line, demonstrating the calculation process and confirming the solution.

What is the general form of a linear equation?

• y = ax + b^2

• y = a/x + b

• y = ax^2 + bx + c

• y = mx + b

In the equation y = -3x + 5, what is the slope?

• 5

• -3

• 3

• -5

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

• -3

• 0

• -5

• 5

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

• By solving for x

• By finding the derivative

• By graphing the equation

• By substituting the x-value and checking the y-value

What is the first step in checking if the point (2, -1) is a solution to y = -3x + 5?

• Graph the equation

• Find the slope

• Substitute y = -1 into the equation

• Substitute x = 2 into the equation

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

• 0

• 1

• 2

• -1