Understanding Linear Relations and Equations

Mr. Barns explains how to find the relation or equation from a table of values. He demonstrates two examples: one where Y decreases by five as X increases by one, and another where Y increases by six. He emphasizes the importance of understanding these concepts for unit 4 and provides tips for identifying the correct equation from a table.

What is the first step in finding a relation from a table?

• Check if Y values are constant.

• Check if X values increase by one.

• Check if Y values increase by one.

• Check if X values are constant.

What indicates a linear relation in a table?

• X values increase by a variable amount.

• Y values decrease by a constant amount.

• X values decrease by a constant amount.

• Y values increase by a constant amount.

What happens to Y as X increases by one in a linear relation?

• Y increases by a constant amount.

• Y remains constant.

• Y decreases by a constant amount.

• Y increases by a variable amount.

How do you adjust the initial equation to match the table values?

• Subtract a constant from the equation.

• Multiply the equation by a constant.

• Divide the equation by a constant.

• Add a constant to the equation.

If X is 1 and the equation is 5x + 24, what is Y?

• 19

• 24

• 5

• 29

What is the equation if Y decreases by 5 as X increases by one?

• Y = -5x - 24

• Y = 5x - 24

• Y = -5x + 24

• Y = 5x + 24

What is the purpose of testing the derived equation with different points?

• To simplify the equation.

• To change the equation.

• To ensure the equation is correct.

• To find new points.

What is the result of 5 * 2 - 10 + 24?

• 19

• 14

• 24

• 10

In the new example, what is the first step in identifying the equation?

• Check if Y values decrease by one.

• Check if Y values are constant.

• Check if X values increase by one.

• Check if X values are constant.

What should you do when X is zero in a table?

• Add the Y value to the equation.

• Multiply the Y value by the equation.

• Subtract the Y value from the equation.

• Ignore the point.