Graphing Systems of Equations Mastery

What does a system of equations typically consist of?

• Two or more equations that may share a common solution

• A single equation with one variable

• A set of inequalities

• A graphical representation only

What is the slope of Line A?

• 2/3

• 1/2

• -1/2

• -2/3

What is the y-intercept of Line B?

• 0,2

• 0,4

• -4

• 2,3

At which point do Line A and Line B intersect?

• (2, 3)

• (0, -4)

• (1, 2)

• (3, 2)

What is the slope of the line after converting it to slope-intercept form in the second example?

• 2/3

• 1/2

• -2

• -1/2

What is the y-intercept of the line after converting it to slope-intercept form in the second example?

• 0,2

• 0,4

• -4

• 2,3

Where do the converted lines intersect in the second example?

• (2, 3)

• (0, -4)

• (1, 2)

• (3, 2)

How do you verify if a point is a solution to the system of equations?

• By calculating the slope only

• By checking if the point satisfies at least one equation

• By graphing the point only

• By checking if the point satisfies all equations

What is the first step in solving systems of equations graphically?

• Find the y-intercept

• Convert all equations to slope-intercept form

• Graph both lines in the same coordinate plane

• Identify the slope

What does the intersection point of two lines in a system of equations represent?

• An unrelated point

• A common solution to both equations

• A solution valid for only one equation

• A possible error in graphing