Verifying Points on Linear Equations

The video tutorial covers graphing linear equations, focusing on understanding slope and Y-intercept. It explains how to graph these equations and verify if specific ordered pairs lie on the line. The tutorial also demonstrates algebraic substitution to check if ordered pairs are solutions to the equation.

What is the general form of a linear equation?

• y = ax + b/x

• y = a/x + b

• y = ax^2 + bx + c

• y = mx + b

In the equation y = mx + b, what does 'm' represent?

• Constant

• X-intercept

• Slope

• Y-intercept

What is the slope in the equation y = 12x - 3?

• -3

• 12

• 1

• 0

What is the y-intercept in the equation y = mx + b?

• m

• b

• x

• y

What is the y-intercept in the equation y = 12x - 3?

• 3

• 0

• -3

• 12

What does the y-intercept represent on a graph?

• The point where the line crosses the x-axis

• The point where the line crosses the y-axis

• The slope of the line

• The origin

What is the first step in graphing a linear equation?

• Identify the slope

• Draw the x-axis

• Identify the y-intercept

• Plot the origin

How do you determine if a point is on the line of a graph?

• Check if it lies on the x-axis

• Check if it lies on the y-axis

• Substitute the point into the equation

• Check if it is the origin

What is the first step in using algebra to verify if a point is on a line?

• Check the slope

• Substitute the y-value into the equation

• Substitute the x-value into the equation

• Graph the point

What does it mean if substituting a point into an equation results in a true statement?

• The point is not on the line

• The slope is zero

• The equation is incorrect

• The point is on the line