Question

Which equation represents the line that passes through (–6, 7) and (–3, 6)?

Answer 1

y = –x + 9
y = –x + 5
y = –3x – 11y
y = –3x + 25

Answer 2

first we find the slope by using the slope formula
slope(m) = (y2 - y1) / (x2 - x1)
(-6,7)....x1 = -6 and y1 = 7
(-3,6)...x2 = -3 and y2 = 6
now we sub
slope(m) = (6 - 7) / (-3 - (-6)
slope(m) = -1/ (-3 + 6)
slope(m) = -1/3

now we use y = mx + b
slope(m) = -1/3
use either of your points (-6,7)...x = -6 and y = 7
now we sub
7 = -1/3(-6) + b
7 = 2 + b
7 - 2 = b
5 = b
so our equation is : y = -1/3x + 5

I am getting something totally different then your answer choices

Answer 3

are you sure your problem is not asking for a perpendicular line that passes through those points ?