Question

What is the siope of the line through (2, - 2) ) and (9, 3) ?

Answer 1

The slope of the line through the points (2, -2) and (9, 3) is calculated using the slope formula (y2 - y1) / (x2 - x1) and is found to be 5/7.

Step-by-step explanation:

The slope of a line through two points can be found using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. Applying this to the points given, which are (2, -2) and (9, 3), we calculate the slope as follows:

• Subtract the y-coordinates: 3 - (-2) = 3 + 2 = 5.
• Subtract the x-coordinates: 9 - 2 = 7.
• Divide the difference in y-coordinates by the difference in x-coordinates: 5 / 7.

Therefore, the slope of the line through the points (2, -2) and (9, 3) is 5/7.

Answer 2

slope = 5/7

(y2 -y1)
———-
(x2 - x1)

3+2
——
9 -2

=

5
—
7