Question 1: Write the equation of a line with a slope m=3 and y-intercept c=2.

Answer: y=3x+2

Question 2: Calculate the value of y when x=4 for the line y=−2x+5.

Answer: −3

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

Answer: Students draw the line

Question 4: Construct a line passing through the point (2, 5) with a slope m=−1.

Answer: y=−1x+7

Question 5: Find the y-intercept c of the line y=4x−c that passes through the point (1, 2).

Answer: −2

Question 6: A line has a slope of −0.5 and passes through the point (0, 4). Write its equation.

Answer: y=−0.5x+4

Question 7: If a line has equation y=mx+c and passes through (−1, 3) with m=2, find c.

Answer: 5

Question 8: A line with slope m=0.75 crosses the y-axis at c=−1. Write its equation.

Answer: y=0.75x−1

Question 9: Determine the value of m if the line y=mx+4 passes through (3, 10).

Answer: 2

Question 10: Identify the common mistake in the following line: y=−3x+7 when trying to find the y-intercept at x=0.

Answer: Incorrectly assuming that the y-intercept is at x=0; it is at y=7.

Question 11: A line has equation y=−2x+c. It passes through (−2, 3). Find the y-intercept c and write the full equation.

Answer: c=−1, y=−2x−1