Question

30 points Given (-3, 1) and (3,-3). The slope of the line is ____________ . The equation of the line is _____________.

Answer 1

Answer:

y = (3/2)x + 11/2

Step-by-step explanation:

As we move from the point (-3, 1) to the point (3, -3), x increases by 6 and y decreases by 4.  Thus, the slope is

m = rise / run = 6/4 = 3/2.

Subbing the knowns into the general point-slope form of the equation of a straight line, we get

y - 1 = (3/2)(x - [-3]), or y - 1 = (3/2)(x + 3).

This is equivalent to y = (3/2)x + 9/2 + 1, or y = (3/2)x + 11/2.

Answer 2

Answer: These are the correct answers: