Answer:
-15
Step-by-step 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 ,
[tex]\longrightarrow\sf slope = y_2-y_1/x_2-x_1[/tex]
Substituting the respective values ,
[tex]\longrightarrow[/tex] -3 = (p - 3p)/(-8-2)
Simplify ,
[tex]\longrightarrow[/tex] -3 = -2p/-10
[tex]\longrightarrow[/tex] -3 = p/5
[tex]\longrightarrow[/tex] p = 5 * -3
[tex]\longrightarrow[/tex] p = -15
Hence the value of p is -15 .
