Question

What is the slope of the line that passes through the points

(
9
,
4
)
(9,4) and
(
3
,
9
)
(3,9)? Write your answer in simplest form.

Answer 1

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

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

Using the given points, we have:

(x1, y1) = (9, 4)

(x2, y2) = (3, 9)

Therefore, the slope of the line passing through these points is:

slope = (9 - 4) / (3 - 9) = 5 / (-6) = -5/6

So, the slope of the line passing through the points (9, 4) and (3, 9) is -5/6.