Question

What is the slope of the line that passes through the points left bracket, 8, comma, minus, 6, right bracket(8,−6) and left bracket, 11, comma, minus, 12, right bracket(11,−12)? write your answer in simplest form. A) -6 B) -2 C) 2 D) 6

Answer 1

The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula:

slope = (y2 - y1) / (x2 - x1)

Let's apply this formula to our points. We are given two points: Point1 is (8, -6) and Point2 is (11, -12). So, x1 = 8, y1 = -6, x2 = 11, y2 = -12.

Now let's substitute these values into our slope formula:

slope = (-12 - (-6)) / (11 - 8)
= -6 / 3
= -2

Therefore, the slope of the line that passes through these two points is -2. So, the correct answer is B) -2.

Answer: B) -2