Solving Systems of Linear Equations by Graphing

This video tutorial explains how to solve a system of linear equations by graphing. It covers the process of converting equations into y-intercept form, graphing each line, and finding their intersection point. The tutorial also verifies the solution by substituting the intersection point back into the original equations.

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

• Add the equations together

• Solve for y in each equation

• Multiply the equations by a constant

• Find the intersection point

What is the y-intercept of the equation 2x + y = 8 when solved for y?

• 8

• 0

• -2

• 4

What is the slope of the line represented by the equation y = -2x + 8?

• 1

• -1

• -2

• 2

How do you transform the equation y - x = 4 to solve for y?

• Add x to both sides

• Subtract x from both sides

• Multiply both sides by -1

• Divide both sides by x

What is the slope of the line represented by the equation y = x - 4?

• 0

• 1

• -1

• 4

What is the intersection point of the lines y = -2x + 8 and y = x - 4?

• (4, 0)

• (0, 4)

• (2, 2)

• (1, 1)

How can you verify the intersection point of two lines?

• By finding the midpoint of the lines

• By checking if the point lies on both lines

• By drawing a perpendicular line

• By calculating the distance between the lines

What is the result of substituting x = 4 and y = 0 into the equation 2x + y = 8?

• 0

• 4

• 8

• 12

What is the result of substituting x = 4 and y = 0 into the equation x - y = 4?

• 2

• 4

• 0

• 8

What does the intersection point of two lines represent in a system of equations?

• The solution to the system

• The sum of the y-intercepts

• The midpoint of the lines

• The average of the slopes