Question 1: Given the line y = 3x + 2, find the value of y when x = 4.

Answer: 14

Question 2: Calculate the y-intercept of the line y = -2x + 5.

Answer: 5

Question 3: Plot the graph of y = 0.5x - 1 on the grid provided.

Answer: Student to plot

Question 4: If a line has a gradient of 4 and passes through the point (2, 3), find its equation in the form y=mx+c.

Answer: y=4x - 5

Question 5: Construct a triangle with vertices at (0,0), (2,4), and (4,0). Find the equation of the line passing through (0,0) and (2,4).

Answer: y=2x

Question 6: A line has a gradient of -1.5 and passes through the point (3, 2). Write its equation in the form y=mx+c.

Answer: y=-1.5x + 6.5

Question 7: A real-world scenario: A car's speed (in km/h) is given by y = 60x + 20, where x is the number of hours since starting. How far has the car traveled after 3 hours?

Answer: 200 km

Question 8: The line y = 2x + c passes through the point (4, 10). Find the value of c and write the full equation.

Answer: c=2, y=2x+2

Question 9: Identify and correct the mistake: A student states that the equation y=4x+3 with a gradient of 4 must have a y-intercept of 3. Is this correct? Explain.

Answer: Yes, it is correct, because c=3 is the y-intercept.

Question 10: Challenge: Find the equation of a line parallel to y=2x+1 and passing through the point (5, 3).

Answer: y=2x - 7

Question 11: Mixed review: For the line y = -0.5x + c, if c = -2, plot its graph and describe its slope and intercept.

Answer: Slope=-0.5, y-intercept=-2, graph to be plotted