General Equation : y = mx + b
Given that the slope is 2/3, sub m:
Equation: y = 2/3 x + b
Given that x-intercept = 4 ( ⇒ when x = 4, y = 0):
2/3 (4) + b = 0
8/3 + b = 0
b = -8/3
Sub b
General Equation: y = 2/3 x - 8/3
3y = 2x - 8
2x - 3y - 8 = 0
Match 2x - 3y - 8 = 0 with 2x+ky-p=0
k = -3
p = 8
Answer: k = -3, p = 8