AJH 8 Math Solving Systems of Linear Equations Graphically

The video tutorial explains how to graph a system of equations representing the membership growth of two fitness centers over five years. It demonstrates graphing each equation in slope-intercept form, identifying the intersection point, and determining the year when both centers have equal members. The tutorial concludes with a summary of the graphing process.

What form are the equations of the system in?

• Point-slope form

• Quadratic form

• Standard form

• Slope-intercept form

What is the y-intercept of the first equation?

• 0

• 5

• 1

• 2

What is the slope of the first equation?

• 0

• 1

• -1

• 2

How many boxes on the x-axis represent 1 unit?

• 1

• 2

• 3

• 4

What is the y-intercept of the second equation?

• 3

• 1

• 5

• 2

What is the slope of the second equation?

• -2

• 0

• 2

• 1

In which year do both fitness centers have the same number of members?

• First year

• Third year

• Fourth year

• Second year

What is the purpose of graphing the system of equations?

• To determine the y-intercepts

• To calculate the total number of members

• To identify the intersection point

• To find the slope of each line

What does the intersection point of the lines represent?

• The year when both centers have equal members

• The difference in members between the centers

• The maximum number of members in the centers

• The total number of members in both centers

What does the slope of a line represent in this context?

• The increase in members per year

• The decrease in members per year

• The starting number of members

• The total number of members