Question 1: What is the Y-intercept of the graph shown?

Answer: 3

Question 2: Plot the graph of y = 2x + 1 on the grid and identify its Y-intercept.

Answer: Y-intercept: 1

Question 3: Read the Y-intercept from the graph of y = -x + 4.

Answer: 4

Question 4: Construct a graph showing y = 0.5x - 2 and state its Y-intercept.

Answer: -2

Question 5: Identify the Y-intercept of the line passing through points (0, -1) and (2, 3).

Answer: -1

Question 6: In a real-world context, a graph shows the relationship between hours studied and test scores. If the line crosses the Y-axis at 50, what does the Y-intercept represent?

Answer: The predicted test score when no hours are studied, i.e., baseline score.

Question 7: A line has a Y-intercept of -3 and passes through (4, 5). Find its slope.

Answer: Slope = (5 - (-3)) / (4 - 0) = 8/4 = 2

Question 8: The graph of a linear function crosses the Y-axis at -2. If the line passes through (3, 4), what is the equation of the line?

Answer: y = 2x - 2

Question 9: A graph shows a line with a Y-intercept at 0 and slope 3. What is the value of y when x = 5?

Answer: 15

Question 10: Error analysis: In the graph of y = -2x + 4, a student reads the Y-intercept as 2 instead of 4. Identify the mistake and correct it.

Answer: The student incorrectly read the Y-intercept from the graph. The correct Y-intercept is 4, where the line crosses the Y-axis.

Question 11: Challenge: Construct the graph of y = -0.5x + 3 and determine its Y-intercept. Then, find the value of y when x = -2.

Answer: Y-intercept: 3; y = -0.5(-2) + 3 = 1 + 3 = 4