The video tutorial covers solving systems of equations by finding the intersection of two lines. It explains how to write equations for the lines using the slope-intercept form, identify slopes and y-intercepts, and use slope triangles for visualization. The tutorial demonstrates finding the intersection point both graphically and algebraically, emphasizing the importance of understanding the difference in slopes and y-intercepts.

What is the primary task in this practice problem?

• To calculate the perimeter of a rectangle

• To write equations for two lines

• To solve a quadratic equation

• To find the area of a triangle

What is the y-intercept of the first line?

• 0

• 8

• 2

• 3

How is the slope of the first line described?

• Positive 3

• Zero

• Negative 3

• Positive 1

What is the y-intercept of the second line?

• 0

• 2

• 8

• 3

How is the slope of the second line described?

• Negative 3

• Zero

• Positive 1

• Positive 3

What is the difference in the y-intercepts of the two lines?

• 2

• 6

• 4

• 8

What is the combined rate at which the two graphs move together?

• 12 units per x-axis unit

• 6 units per x-axis unit

• 3 units per x-axis unit

• 9 units per x-axis unit

What is the x-coordinate of the intersection point?

• 2

• 1

• 3

• 0

What is the y-coordinate of the intersection point?

• 3

• 5

• 7

• 9

What is the solution to the system of equations?

• (1, 5)

• (0, 0)

• (3, 7)

• (2, 3)