Solving Systems of Equations by Graphing

Mrs. Ray introduces solving systems of equations by graphing, focusing on understanding linear equations and their intersection points. Key vocabulary includes consistent, inconsistent, independent, and dependent systems. The video explains different types of solutions, such as one solution, infinitely many solutions, and no solution, and demonstrates how to solve systems by graphing, identifying the point of intersection as the solution.

What is the main focus of section 6.1 in solving systems of equations?

• Solving systems by elimination

• Solving systems by matrices

• Solving systems by graphing

• Solving systems by substitution

What does it mean if a system of linear equations is consistent?

• The lines are parallel

• The lines intersect

• The lines do not intersect

• The lines are the same

What is the term for a system of equations where the lines do not intersect?

• Consistent

• Dependent

• Independent

• Inconsistent

If two lines in a system of equations are the same, what type of system is it?

• Parallel

• Inconsistent

• Dependent

• Independent

What is the solution to a system of equations where the lines are parallel?

• Two solutions

• No solution

• Infinitely many solutions

• One solution

When graphing the equation y = 2x + 1, what is the y-intercept?

• 1

• 2

• 0

• 3

In the equation y = -3/2x + 8, what is the slope?

• -3/2

• 3/2

• 8

• -8

What is the point of intersection for the lines y = 2x + 1 and y = -3/2x + 8?

• (2, 5)

• (1, 2)

• (2, 8)

• (5, 2)

How do you convert the equation 4y = 5x - 12 to slope-intercept form?

• y = 5/4x - 3

• y = 4/5x - 12

• y = 5x - 12

• y = -5/4x + 3

What is the solution to the system of equations where the lines are the same?

• One solution

• No solution

• Infinitely many solutions

• Two solutions