Answer :

Answer:

option b:

y = -2x + 13

Step-by-step explanation:

given the points are:

x1, y1 = -6, 9

x2, y2 = 7, -17

equation of the line is:

y = mx + b

where:

slope, m = y2 - y1 / x2 - x1

              = -17 - 9 / 7 + 6 = -26/13 = -2

substituting values of x1, y1 as x, y in the equation of the line to find the constant b:

9 = -2(-6) + b

9 = 12 + b

b = 9 - 12 = -3

thus, the equation of the line is:

y = -2x - 3

parallel lines have same slope, m and different y - intercept, b

i.e.

y = -2x + 13

would be the equation of the line that is parallel to the given line.