Question 1: Write the equation of a line with slope m=3 and y-intercept c=5.

Answer: y=3x+5

Question 2: Calculate the value of y when x=4 for the line y=2x+7.

Answer: 15

Question 3: Plot the graph of y=−x+2 on the provided grid.

Answer: See full answer key

Question 4: Construct a line with slope m=−2 and y-intercept c=4. Draw on the grid.

Answer: See full answer key

Question 5: If a line has an equation y=5x−3, what are the slope and y-intercept? Write your answer in the form 'm=...' and 'c=...'.

Answer: m=5, c=−3

Question 6: A line passes through (1,2) and has a slope of 4. Find its y-intercept and write the equation in y=mx+c form.

Answer: y=4x−2

Question 7: Given the line y=−0.5x+6, what is the value of y when x=10? Show your working.

Answer: 1

Question 8: Construct a line with slope 0 and y-intercept 4. How does this line look on the graph?

Answer: It is a horizontal line crossing the y-axis at 4.

Question 9: Identify the mistake: A student writes y=−2x+3 when the slope is given as 2. Correct the equation.

Answer: y=2x+3

Question 10: A line has equation y=1.5x−2. Is the slope positive or negative? What does the y-intercept tell you about this line?

Answer: positive slope; y-intercept at -2 means the line crosses the y-axis at -2

Question 11: Challenge: Find the equation of a line with slope m=−3 and passing through the point (2, 5). Write the full equation.

Answer: y=−3x+11

Question 12: Explain why lines with the same slope but different y-intercepts are parallel.

Answer: Lines with the same slope but different intercepts are parallel because they never intersect.