Question

A line has a slope of −5 and contains the point (−2, 4). Which equations represent the line? Choose ALL answers that are correct. ▢A.−5x + y = −6 ▢B.5x + y = −6 ▢C.(y – 4) = −5(x + 2) ▢D.(y + 4) = −5(x − 2) I think the answers are A and C but I'm not sure .. Check ?

an hour ago

Answer 1

@ganeshie8

Answer 2

y=mx+b, slope m = -5, so y = -5x+b
now we can supstiture x= -2 and y = 4
\[4 = -5 \times -2 +b\]
hence
\[b = -6\]
so the line can be expressed as
y = -5x -6

this is equal to
-5x + y = -6 (by adding -5x to both sides) -> A
this is not the same as B

if we expand expression C we get
\((y – 4) = −5(x + 2)\), or \((y – 4) = −5x -10)\), that is
\(y = −5x -6\), so C is also equivalent

D
\((y + 4) = −5(x − 2)\) is equivalent to \(y + 4 = −5x + 10\),
that is
\(y = −5x + 6\)
So D is not valid

You were correct

Answer 3

@kewlkatcutie

Answer 4

Thank you so sorry for the late response <33

Answer 5

It's ok, it is not that late either