Writing and Analyzing Linear Equations

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)