Determine the slope of the line.

Question

(1,-4)
(3,3)

Answer 1

To find the slope of a line passing through two points, you can use the formula:

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

Given the points (1, -4) and (3, 3), let's label them as (x1, y1) and (x2, y2) respectively.

x1 = 1, y1 = -4
x2 = 3, y2 = 3

Now, plug these values into the slope formula:

m = (3 - (-4)) / (3 - 1)
m = (3 + 4) / 2
m = 7 / 2
m = 3.5

Therefore, the slope of the line passing through the points (1, -4) and (3, 3) is 3.5.