Solving Systems of Linear Equations by Graphing

What is one method to find solutions for a linear system?

• Using a table of values

• Solving algebraically without graphing

• Graphing the lines and finding their intersection

• Using a calculator

What does the y-intercept of the first equation represent?

• The steepness of the line

• The point where the line crosses the y-axis

• The slope of the line

• The point where the line crosses the x-axis

What is the slope of the first equation y = -x + 4?

• 4

• -1

• 1

• -4

What is the y-intercept of the second equation y = 2x - 2?

• 4

• 0

• -2

• 2

What is the slope of the second equation y = 2x - 2?

• -1

• -2

• 2

• 1

What are we looking for when graphing two linear equations?

• The point where the lines are parallel

• The point where the lines are perpendicular

• The point where the lines diverge

• The point where the lines intersect

At what point do the two lines intersect?

• (0, 0)

• (2, 1)

• (2, 2)

• (1, 2)

How can we verify the solution to the system of equations?

• By checking if the point satisfies both equations

• By graphing another line

• By using a different method to solve the equations

• By changing the equations

What is the result when substituting x = 2 and y = 2 into the first equation?

• 2 / 2 = 1

• 2 * 2 = 4

• 2 - 2 = 0

• 2 + 2 = 4

What is the result when substituting x = 2 and y = 2 into the second equation?

• 2 * 2 + 2 = 6

• 2 * 2 - 2 = 2

• 2 * 2 + 2 = 8

• 2 * 2 - 2 = 4