Answer:
Step-by-step explanation:
Given the follow information
At x=1, y=-2
At x=2, y=-4
At x=3, y=-6
At x=4, y=-8
At x=5, y=-10
Using straight line equation
y=mx+c
At x=1 y=-2
-2=m(1)+c
-2=m+c equation 1
Also, at x=2, y=-4
-4=m(2)+c
-4=2m+c equation 2
Subtract equation 1 from 2.
-4--2=2m-m+c-c
-4+2=m
Therefore, m=-2
Also, to get c from equation 1
-2=m+c
c=-2-m
c=-2--2
c=-2+2
c=0
Then, writing the linear equation
y=mx+c, since m=-2 and c=0
y=-2x+0
y=-2x
