If we are given one set of coordinates and the slope we can write the function.
The formulae is y - y1 = m (x - x1)
Let use this formulae and the coordinates and slope from the previous example.
We need one set of coordinates either (3, 2) or (8, -4) and the slope m =
6
-5
Lets use (8, -4).
y - (-4) = 6/(-5)(x - 8)
y + 4 = 6x/(-5) - 8(6/(-5))
y + 4 = 6x/(-5) - 48/(-5)
y = 6x/(-5) + 48/5 - 4
y = -6x/5 + 192/20 - 80/20
y = -6x/5 + 112/20
y = -6x/5 + 28/5
y = -1.2x + 5.6
Is it a legitimate mathematical alteration to change 6x/(-5) into -6x/5?
Try this example: slope = 3 coordinates (-5, 6)
answer