Understanding Ordered Pairs and Linear Equations

The video tutorial explains how to determine if ordered pairs satisfy the equation y = -5x + 3 by substituting x and y values into the equation. It evaluates five ordered pairs, identifying which ones make the equation true. The tutorial also demonstrates a graphical method to verify solutions, showing that only the pairs (5, -22) and (6, -27) lie on the line represented by the equation.

What is the first step to determine if an ordered pair satisfies the equation y = -5x + 3?

• Multiply the x-value by 3

• Add the x-value and y-value

• Substitute the x-value and y-value into the equation

• Divide the y-value by the x-value

What is the result of substituting the ordered pair (1, -1) into the equation y = -5x + 3?

• The equation is satisfied

• The result is zero

• The equation is not satisfied

• The result is positive

Which ordered pair satisfies the equation y = -5x + 3?

• (1, -1)

• (8, -35)

• (6, -27)

• (-7, 37)

What is the result of substituting the ordered pair (-7, 37) into the equation y = -5x + 3?

• The equation is satisfied

• The equation is not satisfied

• The result is negative

• The result is zero

What is the result of substituting the ordered pair (8, -35) into the equation y = -5x + 3?

• The equation is not satisfied

• The result is positive

• The equation is satisfied

• The result is zero

Which ordered pair satisfies the equation y = -5x + 3?

• (5, -22)

• (8, -35)

• (-7, 37)

• (1, -1)

What is the result of substituting the ordered pair (5, -22) into the equation y = -5x + 3?

• The result is negative

• The equation is satisfied

• The equation is not satisfied

• The result is zero

How can you verify if an ordered pair is a solution to the equation y = -5x + 3 using a graph?

• Check if the point is below the line

• Check if the point is above the line

• Check if the point is on the line

• Check if the point is to the left of the line

Which two ordered pairs are confirmed as solutions on the graph?

• (1, -1) and (8, -35)

• (1, -1) and (-7, 37)

• (6, -27) and (5, -22)

• (-7, 37) and (8, -35)

What does it mean if an ordered pair is not on the line of the graph of y = -5x + 3?

• The ordered pair satisfies the equation

• The ordered pair does not satisfy the equation

• The ordered pair is a solution

• The ordered pair is irrelevant