Question 1: Rewrite the equation 3x + 2y = 12 in slope-intercept form y = mx + c.

Answer: y = -/2 x + 6

Question 2: Determine the slope (m) and y-intercept (c) of the equation y = 4x - 5.

Answer: m=4, c=-5

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

Answer: Student draws line with slope 2 and y-intercept 3

Question 4: Given y = 3x - 4 and y = -x + 2, solve for x and y using substitution.

Answer: x=2, y=2

Question 5: Create a pair of equations in y = mx + c form that intersect at (1, 2).

Answer: e.g., y=2x+0, y=-x+3

Question 6: A line has equation y = -x + 5. What is the y-value when x=3?

Answer: y=1

Question 7: A teacher writes the equation y = 0.5x - 2 on the board. What is the slope and y-intercept?

Answer: m=0.5, c=-2

Question 8: Solve the system: y=2x+1 and y= -x+4. Find the point of intersection.

Answer: x=1, y=3

Question 9: Identify and correct the mistake: Given the equation y=3x+2, a student writes y=2x+3 as the solution for the same line.

Answer: The mistake is that y=2x+3 has a different slope and y-intercept; it represents a different line.

Question 10: Find the y-value when x=0 for the equation y = -2x + 7.

Answer: 7

Question 11: Determine if the lines y=2x+1 and y=2x+4 are parallel, intersecting, or the same line. Explain.

Answer: Parallel, because they have the same slope but different y-intercepts.