What is the slope for (3,-14) (15,19)

33/12 because of y-y over x-x you get 33/12

2.75 is the slope for (3, - 14) (15, 19)

Explanation:
Slope (m) =
ΔY
ΔX
=
11
4
= 2.75
θ =
arctan( ΔY )
ΔX
= 70.0168934781°
ΔX = 15 – 3 = 12
ΔY = 19 – -14 = 33
Distance (d) = √ΔX2 + ΔY2 = √1233 = 35.114099732159

Equation of the line:

y = 2.75x – 22.25

or
y =
11 x
4
– 89
4
When x=0, y = -22.25
When y=0, x = 8.0909090909091