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.
