Question 1: Find the equation of a line passing through the point (3, 2) with a slope of 4.

Answer: y = 4x - 10

Question 2: A line passes through the point (5, 7) and is perpendicular to the line y = -1/2 x + 3. Find its equation.

Answer: y = 2x + c

Question 3: Construct a line on the grid parallel to y=3x + 2 and passing through (2, -1). Write its equation.

Answer: y = 3x - 7

Question 4: Identify the slope of a line perpendicular to the line passing through (0, 0) and (4, 8).

Answer: -1/2

Question 5: A shop offers a discount where the original price p and the discounted price d follow the relation d = 0.8p. If the price p is represented on a graph as a line, find the equation of this line given that p is on the x-axis and d on the y-axis.

Answer: d = 0.8p

Question 6: A line passing through (1, 4) has a slope of -3. Write its equation.

Answer: y = -3x + 7

Question 7: In a shopping scenario, the total cost C in pounds is related to the number of items n by C = 5n + 10. If the line representing this cost is perpendicular to the line representing a different pricing scheme with slope m, find m if the lines are perpendicular.

Answer: m = -1/5

Question 8: Construct the equation of a line on the grid that is perpendicular to y = -2x + 3 and passes through (4, 1).

Answer: y = 1/2 x - 1

Question 9: A customer wants to draw a line on the grid that is perpendicular to y=4x and passes through (0, 5). Write the equation.

Answer: y = -1/4 x + 5

Question 10: A shop's cost line is represented by y=0.5x + 20. Draw a perpendicular line passing through (8, 24). What is its equation?

Answer: y = -2x + 40