Graphing Systems of Equations in Slope-Intercept Form

What is the main goal when graphing systems of equations?

• To calculate the distance between the lines

• To find the intersection point of the lines

• To determine the y-intercept of each line

• To find the slope of each line

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

• The point of intersection

• The slope of the line

• The x-intercept

• The y-intercept

For the equation y = -3/2x - 7, where does the graph cross the y-axis?

• At y = -7

• At y = -3

• At y = 7

• At y = 3

What is the slope of the equation y = -3/2x - 7?

• -3/2

• 3/2

• -7

• 7

Why is it important to plot multiple points when graphing a line?

• To make the graph look more detailed

• To practice plotting points

• To ensure the line is straight

• To accurately find the intersection point

What is the intersection point of the equations y = -3/2x - 7 and y = -1/2x - 5?

• (-2, -4)

• (4, 2)

• (2, 4)

• (-4, -2)

What does it mean if two lines on a graph are parallel?

• They have the same y-intercept

• They never intersect

• They intersect at one point

• They intersect at multiple points

If two lines have the same slope but different y-intercepts, what is the solution to the system?

• One solution

• Cannot be determined

• Infinitely many solutions

• No solution

What is the solution to a system where the two lines overlap completely?

• Cannot be determined

• Infinitely many solutions

• No solution

• One solution

What would you call a system of equations where the lines intersect at infinitely many points?

• No solution

• One solution

• Undefined solution

• Infinitely many solutions