Question 1: Plot the graph of the line passing through the points (2, 3) and (4, 7).

Answer:

Question 2: Determine the slope (m) of the line shown on the graph that passes through (1, 2) and (3, 6).

Answer: 2

Question 3: Find the y-intercept (c) of the line with equation y= -3x + 5.

Answer: 5

Question 4: The graph shows a line with a slope of 1/2 and y-intercept 4. Write the equation of this line.

Answer: y = 1/2 x + 4

Question 5: Construct the line with a slope of -1 and passing through the point (2, 3).

Answer:

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

Answer: 3

Question 7: A line passes through (0, c) and (2, 4). If the line's equation is y=mx+c, find the value of c and m.

Answer: c=1, m=1.5

Question 8: A line has an equation y= 2x - 1. Using the graph, verify its y-intercept and slope.

Answer:

Question 9: The graph shows a line passing through (3, 2) and (5, 6). Write its equation.

Answer: y = 2 x - 4

Question 10: Identify and correct the mistake in the following statement: "The y-intercept of a line is always the point where the line crosses the x-axis."

Answer: Corrected: The y-intercept is where the line crosses the y-axis.

Question 11: Challenge: Given a line with slope 3 passing through (1, 4), construct its equation and plot it on the grid.

Answer:

Question 12: Identify the error: "A line with a negative slope always decreases as x increases."

Answer: Incorrect: A line with a negative slope decreases; it does not always decrease as x increases, but generally slopes downward.