Solving Systems of Equations by Graphing

What form are all the problems in today's lesson?

• Standard form

• Point-slope form

• Slope-intercept form or horizontal and vertical lines

• Quadratic form

What does the slope of -2 indicate in the first equation?

• Up 2, left 1

• Down 2, left 1

• Up 2, right 1

• Down 2, right 1

What is the solution to the first system of equations?

• (4, 5)

• (5, -4)

• (2, -2)

• (3, -4)

How do you verify a solution for a system of equations?

• By substituting the solution into one equation only

• By checking if the solution lies on the y-axis

• By ensuring the solution satisfies both equations

• By graphing the equations only

What is the slope and y-intercept of the second equation in the second system?

• Slope: 1/3, y-intercept: -5

• Slope: 2/3, y-intercept: 3

• Slope: -3/2, y-intercept: 1

• Slope: 1/2, y-intercept: -3

What is the intersection point of the second system of equations?

• (4, 5)

• (2, -2)

• (3, -4)

• (5, -4)

What type of line does the equation y = 5 represent?

• Diagonal line

• Curved line

• Vertical line

• Horizontal line

What is the solution to the system where one equation is y = 1/2x + 3 and the other is y = 5?

• (3, -4)

• (5, -4)

• (2, -2)

• (4, 5)

What does the equation x = -3 represent?

• A horizontal line at x = -3

• A curve passing through x = -3

• A vertical line at x = -3

• A diagonal line passing through x = -3

What is the solution to the system with equations in slope-intercept form and a vertical line x = -3?

• (2, 1)

• (-3, 1/2)

• (0, 2)

• (3, -4)