Line k passes through (2, -3) and (8,1). which equation represents a line that is parallel to k? a. y = -2/3 x - 5/3 b. y = 2/3 x - 13/3 c. y = 3/2 x - 6 d. y = -3/2 x

B. y = 2/3 x - 13/3

Step-by-step explanation:

two lines are said to be parallel if they have the same slope.

To find the slope of line K we will use the formula fro calculating slope which is :

m =

= 2

= 8

= -3

= 1

substituting into the values into the formula , we have :

m =

m =

m =

Therefore : the slope of line K = , this means that any line that will be parallel to K must have a gradient of .

The only line that has a gradient of is the line y = 2/3x - 13/ 3 ,this means that the line is parallel to Line K

positive

step-by-step explanation:

the quadrant is facing upwards