What is the slope of the line that passes through the points 2,-4 and 5,2 Write your answer in simplest form.
To find the slope of the line that passes through two points, you use the slope formula, which is:
slope = (change in y) / (change in x)
Let's denote the first point as (x1, y1) = (2, -4) and the second point as (x2, y2) = (5, 2). Now, we can find the slope (m):
m = (y2 - y1) / (x2 - x1)
m = (2 - (-4)) / (5 - 2)
m = (2 + 4) / (3)
m = 6 / 3
m = 2
So, the slope of the line that passes through the points (2, -4) and (5, 2) is 2, which is already in its simplest form.