Question

What is the slope of the line that passes through the points left bracket, 2, comma, 9, right bracket(2,9) and left bracket, 18, comma, minus, 3, right bracket(18,−3)? Write your answer in simplest form.

Answer 1

The slope of the line that passes through the points (2, 9) and (18, −3) is -3/4.

Step-by-step explanation:

The slope of a line passing through two points (2, 9) and (18, −3) can be calculated using the slope formula: slope (m) = (rise)/(run), which is the change in y divided by the change in x. To find the slope of the line, we subtract the y-coordinate of the second point from the y-coordinate of the first point (the rise), and then we subtract the x-coordinate of the second point from the x-coordinate of the first point (the run).

So, the slope m is calculated as follows:

m = (9 - (-3)) / (2 - 18)

m = (9 + 3) / (2 - 18)

m = 12 / (-16)

m = -3/4

The slope of the line in simplest form is -3/4.