Question: Part A: Suppose that you want to construct a line with slope m=3 that passes through the point (2,1). You would begin by setting up the equation
y = 3x + b.
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 b. What is the value of b? Express your answer as an integer.
Part B: Suppose that you want to find the equation for a line that passes through the two points (0,3) and (4,9). What is the slope of this line? Express your answer numerically.
Part C: Now that you have the slope, proceed as you did in Part A. What is the value of b for this line? Express your answer numerically.
Part D: Now, find the equation for a line that passes through the two points (âˆ'1,3) and (4,âˆ'5). Express your answer in terms of x. The "y=" has been given for you.
Part E: What is the y coordinate of the point on the line with x coordinate âˆ'2? Express your answer numerically