Type an equation for the following pattern

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

step-by-step explanation: