Let A and B have (-4,3) and (4.9) as coordinates, respectively, and a the slope.
To find the slope using the known coordinates of two points, we apply the formula:
a = Δy / Δx
Δy represents the subtraction of the y-coordinates of the points and Δx the subtraction of the x-coordinates.
So Δy = yB - yA
Δx = xB - xA
So a = Δy / Δx
a= (yB - yA) / (xB - xA)
a = (9 - 3) / (4 + 4)
a = 6/8
So the slope of the line that contains the points (-4,3) and (4,9) is a = 6/8
Here's a picture representing the line with the 2 points.
Hope this helps! :)
