Verifying Points on Graphs

The video tutorial explains strategies to determine if an ordered pair lies on a graph. It involves replacing X and Y values in an equation with given points and checking if the equation holds true. The video analyzes three options, verifying calculations for each to determine which point does not lie on the graph. The tutorial concludes with identifying the correct answer and closing remarks.

What is the primary goal when determining if an ordered pair lies on a graph?

• To find the slope of the graph

• To check if the equation holds true with the given values

• To determine the intercepts of the graph

• To calculate the area under the graph

Which method is suggested for checking if a point lies on a graph?

• Drawing a tangent line

• Graphing the equation

• Using a calculator to solve the equation

• Substituting the X and Y values into the equation

What is the first step in checking if a point lies on a graph?

• Graph the equation

• Substitute the X and Y values

• Calculate the slope

• Find the intercepts

What is the method used to verify if a point lies on a graph?

• Graphical plotting

• Substitution into the equation

• Finding the derivative

• Using a protractor

In the first example, what are the X and Y values used?

• X = 0.5, Y = 7.25

• X = 1.25, Y = 10.25

• X = 2.0, Y = 8.0

• X = -1.5, Y = 15.25

What is the result of substituting the point (-1.5, 15.25) into the equation?

• The point is an intercept

• The point lies outside the graph

• The equation is satisfied

• The equation is not satisfied

What should you do if the substituted values satisfy the equation?

• Conclude the point lies on the graph

• Recalculate the values

• Change the equation

• Ignore the result

In the second example, what are the X and Y values used?

• X = -1.5, Y = 15.25

• X = 1.25, Y = 10.25

• X = 0.5, Y = 7.25

• X = 2.0, Y = 8.0

What is the outcome when substituting the point (0.5, 7.25) into the equation?

• The equation is not satisfied

• The equation is satisfied

• The point lies outside the graph

• The point is an intercept

In the third example, what are the X and Y values used?

• X = 2.0, Y = 8.0

• X = -1.5, Y = 15.25

• X = 0.5, Y = 7.25

• X = 1.25, Y = 10.25