Identify the slope of the line that passes through the given points. Show your work.
(5, 2) and ( −4,6)
To find the slope of the line that passes through the given points (5, 2) and (-4, 6), we can use the formula for slope:
m = (y2 - y1) / (x2 - x1)
Let's label the points as follows:
Point 1: (x1, y1) = (5, 2)
Point 2: (x2, y2) = (-4, 6)
Now we can substitute the values into the formula:
m = (6 - 2) / (-4 - 5)
Simplifying further:
m = 4 / -9
So the slope of the line that passes through the given points is -4/9.