Question

The slope and the x-intercept of the line 2x+ky-p=0 are 2/3 and 4 respectively. what are the value of k and p

Answer 1

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