Aline passes through the point (-2,7) and. has a slope of -4. what is the value of a if the point (a, -2) is also on the line?

a =

using the ' gradient formula '  m = (y₂ - y₁)/(x₂ - x₁) → (m is the slope)

here (x₁, y₁) = (a , - 2)) and (x₂ , y₂) = (- 2, 7)

thus = -4 ⇒ = -4

cross-multiply

-4(- 2 - a) = 9

8 + 4a = 9

subtract 8 from both sides

4a = 9 - 8 = 1

divide both sides by 4

a =

aloha~! my name is zalgo and i am here to you out on this amazing day. to answer your question, yes, nonzero numbers can have a greatest common factor and that would be 1. still don't get it? let me considering every number is divisible by 1 and hence every number has 1 as a factor of theirs. so, if 2 nonzero numbers didn't share any gcf (greatest common factor), they would still have a factor in common and that would be 1.

i hope that this ! : p

"stay and stay proud! " - zalgo

(by the way, do you mind marking me as brainliest? i'd greatly appreciate it! mahalo! x3)