Question

What is the slope of the line that passes through the points left bracket, minus, 9, comma, minus, 7, right bracket(−9,−7) and left bracket, minus, 11, comma, minus, 6, right bracket(−11,−6)? Write your answer in simplest form.

Answer 1

The slope of the line passing through the points (-9, -7) and (-11, -6) is calculated by finding the change in y divided by the change in x, resulting in a slope of -1/2.

Step-by-step explanation:

The slope of a line passing through two points (-9, -7) and (-11, -6) can be calculated using the slope formula, which is rise over run, or the change in y divided by the change in x. It's described by the formula:

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

Where (x1, y1) and (x2, y2) are the coordinates of the two points. Plugging in the values gives us the following:

m = (-6 - (-7)) / (-11 - (-9))

= (1) / (-2)

= -1/2

Therefore, the slope of the line through the given points is -1/2.