Analyzing Line Intersections and Slopes

The video is a continuation of Math 8, Unit 4, Lesson 15, focusing on estimating where two lines intersect on a graph, choosing the correct equations that represent these lines, calculating their slopes, and verifying the solutions by solving the equations. The teacher provides a detailed walkthrough of the process, including using a calculator for slope calculations and comparing estimated coordinates with actual results.

What is the estimated x-coordinate of the intersection point of the two lines?

• 1.25

• 1.50

• 2.00

• 1.75

Which of the following is a characteristic of the first line's equation?

• Positive slope

• Negative slope

• Y-intercept at 6

• Y-intercept at 0

How is the slope of a line calculated?

• X2 - X1 / Y2 - Y1

• Y1 - Y2 / X1 - X2

• Y2 - Y1 / X2 - X1

• X1 - X2 / Y1 - Y2

What is the slope of the first line?

• 0.5

• 0.8

• 1.0

• 1.2

What is the y-intercept of the second line?

• 3

• 6

• 9

• 0

Which of the following is the correct slope for the second line?

• -2.5

• -1.5

• -3.0

• -3.5

What is the purpose of setting the two equations equal to each other?

• To verify the slope

• To find the y-intercept

• To calculate the x-intercept

• To confirm the intersection point

What is the calculated x-coordinate of the intersection point after solving the equations?

• 1.50

• 1.75

• 1.81

• 1.46

What is the calculated y-coordinate of the intersection point after solving the equations?

• 1.75

• 1.50

• 1.46

• 1.81

How close was the estimated intersection point to the calculated one?

• Exact match

• Very close

• Somewhat close

• Not close