Graphing Systems of Linear Equations: Key Concepts and Examples

What is the first step in graphing a system of linear equations?

• Plot the y-intercept

• Isolate y

• Use the slope to rise or run

• Draw the line

After isolating y, what should you plot next on the graph?

• The y-intercept

• The x-intercept

• The slope

• A random point

How do you convert a whole number slope into a fraction?

• Put it over 1

• Divide by 1

• Subtract 1

• Multiply by 100

Where do the lines of a system of equations intersect?

• Where the slope equals zero

• Where the two lines meet

• At the x-intercept

• At the y-intercept

What does the y-intercept represent in the graph of a linear equation?

• The slope of the line

• The point where the line crosses the y-axis

• The highest point of the line

• The point where the line crosses the x-axis

What is the result when the slopes of two lines in a system are the same?

• The lines overlap completely

• The lines are parallel and never intersect

• The lines form a right angle

• The lines intersect at one point

How do you find the slope from an equation in the form y = mx + b?

• y is the slope

• m is the slope

• b is the slope

• x is the slope

What does it mean if the system of equations has no solution?

• The lines intersect at multiple points

• The lines are parallel

• The lines intersect at one point

• The lines are perpendicular

In the context of graphing, what does 'rise over run' refer to?

• The method to isolate y

• The method to determine the slope

• The method to calculate the y-intercept

• The method to calculate the x-intercept

What is the significance of the point where two lines intersect in a system of equations?

• It is irrelevant to the solution

• It represents the minimum value of the system

• It represents the maximum value of the system

• It is the solution to the system