Question

What is the slope of the line that passes through the points left bracket, minus, 9, comma, 10, right bracket(−9,10) and left bracket, minus, 13, comma, 13, right bracket(−13,13)? Write your answer in simplest form.

Answer 1

The slope of the line passing through the points (-9,10) and (-13,13) is calculated as the change in y divided by the change in x, resulting in a slope of -3/4.

Step-by-step explanation:

The slope of a line that passes through two points can be found by calculating the difference in the y-coordinates (rise) divided by the difference in the x-coordinates (run), using the formula: slope (m) = (y2 - y1) / (x2 - x1). In this case, we have two points: (-9,10) and (-13,13).

The difference in the y-coordinates is 13 - 10 = 3, and the difference in the x-coordinates is -13 - (-9) = -4. So, the slope is:

m = 3 / -4 = -3/4

Therefore, the slope of the line is -3/4, which is in its simplest form.