Solving Systems of Linear Equations by Graphing

The video tutorial explains how to solve a system of equations by graphing. It covers the process of graphing two lines on the same coordinate plane and analyzing the graph to find the solution. The tutorial reviews possible outcomes when graphing two lines: intersection (one solution), parallel (no solution), and coinciding lines (infinite solutions). An example is provided, demonstrating how to graph lines in slope-intercept form and find the point of intersection, which represents the solution to the system. The tutorial concludes by identifying the system as consistent and the equations as independent.

What is the goal when solving a system of equations by graphing?

• To determine the y-intercept of the lines

• To find the intersection of the x-axis

• To find the x and y values that satisfy both equations

• To find the slope of the lines

What is the outcome when two lines intersect on a graph?

• Two solutions

• Infinite solutions

• One solution

• No solution

What do we call a system where the two lines never intersect?

• Inconsistent and dependent

• Consistent and independent

• Inconsistent and independent

• Consistent and dependent

What is the form of the slope-intercept equation?

• y = b + mx

• x = b + my

• y = mx + b

• x = my + b

What is the slope of the first line in the example?

• -6

• 6

• 2

• -2

What is the y-intercept of the first line in the example?

• 4

• -2

• 0

• 2

How do you write the slope -2 in fraction form?

• -2/1

• 1/-2

• -1/2

• 2/-1

What is the slope of the second line in the example?

• -2

• 2

• 6

• -6

What is the y-intercept of the second line in the example?

• 2

• -2

• 4

• 0

What are the coordinates of the point of intersection for the two lines?

• (1, -4)

• (-1, 4)

• (4, -1)

• (-4, 1)