Question

A line with a slope of -3 passes through (-8,p) and (2,3p).
Find the value of p.

Answer 1

(3p-p)/(2-(-8))= -3

2p/10= -3

2p= -30

p= -15

Answer 2

-15

Explanation:

Given that a line has a slope of -3 and passes through the points (-8,p) and (2,3p) . And we need to find out the value of p . As we know that the slope is ,

`\longrightarrow\sf slope = y_2-y_1/x_2-x_1`

Substituting the respective values ,

`\longrightarrow` -3 = (p - 3p)/(-8-2)

Simplify ,

`\longrightarrow` -3 = -2p/-10

`\longrightarrow` -3 = p/5

`\longrightarrow` p = 5 * -3

`\longrightarrow` p = -15

Hence the value of p is -15 .