Answer:
The slope of the line passing through (-2, 5) and (4,-1) is -1.
Step-by-step explanation:
To solve this equation, we can use the formula Δy÷Δx=s.
(Change in y divided by change in x is equal to slope)
First, plot the two points on a graph, then draw a line connecting the two points.
Then, draw a line from (-2,5) to (-2,-1). Since the line goes down by 6 units from (-2,5), this means that the change in y is -6.
Draw a line from (-2,5) to (4,5). Since the line goes right by 6 units from (-2,5), this means that the change in x is +6.
Δy÷Δx=s
-6÷6=s
-6÷6=-1
-1=s
Therefore, the slope of the line passing through (-2, 5) and (4,-1) is -1.
More Info On Finding Slopes:
https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs/x2f8bb11595b61c86:slope/v/introduction-to-slope
