Write an equation of a line that passes through (4,6)and is parallel to the line that passes through (6,-6) and (10,-4)

The answer to your question is:  y = x/2 + 4

Step-by-step explanation:

Data

Point = (4, 6)

parallel to (6, -6) and (10, -4)

Formula

m = (y2 - y1) /(x2 - x1)

Process

First calculate the m

m = (-4 + 6) / (10 - 6)

m = 2 / 4

m = 1/2

Then we find the equation of the line

(y -  y1) = m (x - x1)

y - 6 = 1/2 (x - 4)                    This is one equation

2(y - 6) = x -4

2y - 12 = x - 4

2y = x -4 + 12

2y = x + 8

y = x/2 + 4                          This is another equation

i believe the answer is c.