Question

Part A

Suppose that you want to construct a line with slope that passes through . You would begin by setting up the equation . If you plug in the coordinates for any point on that line, the two sides of the equation will be equal. Once you've done this, you can solve for . What is the value of ? 

Part B

Suppose that you want to find the equation for a line that passes through the two points and . What is the slope of this line?

Part C

Now, that you have the slope, proceed as you did in Part A. What is the value of  for this line? 

Part D

Now, find the equation for a line that passes through two points and . Express your answer in terms of .