Question 1: Identify the slope (m) of the line shown on the graph, which passes through points (2, 3) and (5, 9).

Answer: 2

Question 2: Determine the y-intercept (c) of the line that passes through (0, 4) and (3, 10).

Answer: 4

Question 3: Plot the graph of y=2x+1 on the grid. (Draw the line)

Answer: Student's drawn line

Question 4: Given the graph of a line passing through points (1, 2) and (4, 8), write the equation of the line in the form y=mx+c.

Answer: y=2x+0

Question 5: Construct a line on the graph that has a slope of -1 and passes through (2, 3).

Answer: Line passing through (2, 3) with slope -1

Question 6: From the graph, identify the coordinates where the line crosses the y-axis and the x-axis.

Answer: Y-axis crossing at (0, c), X-axis crossing at (x, 0)

Question 7: A line passes through points (0, 5) and (3, 11). Is the line increasing or decreasing? Justify your answer.

Answer: Increasing because the y-value increases as x increases.

Question 8: Calculate the slope of the line that has a y-intercept at 3 and passes through (2, 7).

Answer: 2

Question 9: A line on the graph has a slope of 0. What is the equation of this line? Draw it on the grid.

Answer: y = constant

Question 10: Given the graph of a line passing through (-1, 2) and (3, 6), find the equation of the line. Then, verify if the point (0, 4) lies on this line.

Answer: Equation: y=1x+3; Point (0,4) does not lie on the line.

Question 11: Identify and correct the mistake in the following claim: 'A line with a negative slope always crosses the x-axis at a negative x-value.'

Answer: The line can cross the x-axis at a positive x-value; negative slope does not determine the sign of x-intercept.

Question 12: Challenge: Construct a line with a slope of 3 that passes through the point (1, 4). Then, find the equation of this line.

Answer: y=3x+1