Solving Systems of Equations by Graphing

What type of solution does a system have if the lines intersect at exactly one point?

• Cannot be determined

• Infinite solutions

• One solution

• No solution

In the context of graphing, what does the 'slope' represent?

• The vertical shift per unit horizontal

• The horizontal shift per unit vertical

• The y-intercept of the line

• The point where the line crosses the y-axis

What is the standard form of a linear equation in slope-intercept form?

• y = bx + m

• x = my + b

• y = mx + b

• Ax + By = C

What does it mean if the lines in a graph are parallel?

• They intersect at multiple points

• They are the same line

• They do not intersect

• They intersect at one point

What does the y-intercept of a line tell us?

• The steepness of the line

• The point where the line crosses the x-axis

• The point where the line crosses the y-axis

• The slope of the line

What is the solution for a dependent system of linear equations?

• One specific point

• Only the origin point

• All real numbers

• No points

What does it mean for a system of equations to be consistent?

• The system cannot be solved

• The system has infinite solutions

• The system has no solutions

• The system has exactly one solution

How can you identify an inconsistent system of equations through graphing?

• The lines intersect at multiple points

• The lines do not intersect at any point

• The lines are exactly the same

• The lines intersect at one point

If two lines have the same slope but different y-intercepts, what can be concluded?

• They intersect at multiple points

• They intersect at one point

• They are the same line

• They do not intersect

During the self-quiz, what should students do after graphing the equations?

• Identify the type of system

• Erase the graph

• Start over with new equations

• Graph additional lines