Question

What is the equation of the line from the table of values?

A.
y = x + 2


B.
x= −y − 2


C.
y= x − 2


D.
x = y + 2

Answer 1

Explanation:

from equ. of a straight line

y=mx+c

put x=-4 , y=-2 (first row)

-2=-4m+c

-4m+c=-2 ------- 1

put x=2, y=4 (forth row)

4=2m+c

2m+c=4 -------- 2

solving equ 1 and 2 simultaneously

-4m+c=-2

-

2m+c=4

2m-(-4m) +(c-c)=4-(-2)

6m=6

m=1

put m in equ. 2

2(1)+c=4

c=4-2

c=2.

from y=mx+c

y=(1)x+2

y=x+2

A is the correct option