Question

A line has a slope of - 4 and includes the points (6,v) and (3,3). What is the value of v?

Answer 1

Answer:  v = - 9

Step-by-step explanation:

Since two points on the line are given, we use formula for slope.

Let (a,b) and (c,d) be two points on the line, the slope of the line is given by

m=$\frac{d-b}{c-a}$.

Hence, using this we have

-4=$\frac{3-v}{3-6}$

Thus, we have

-4×(-3)=3-v⇒12=3-v⇒12-3=-v⇒v=-9