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)

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)

anonymous · Answer

When given 2 points and a slope you can plug them into this equation y-y1 = m(x-x1)

anonymous · Answer

M is the slop, y1 is the y coordinate you have bin given and x1 is the x coordinate

anonymous · Answer

plug it in and you get y-(4)=-5(x-(-2))

anonymous · Answer

the negative in the x-x1 cancel out, so simplifying you will get y-4 = -5(x+2)

anonymous · Answer

Multiply out the -5 so you will have y-4=-5x - 10

anonymous · Answer

then move the negative 4 on the left side to the right to get y by itself and you will have y-4+4=-5x-10+4

anonymous · Answer

simplify and you have y=-5x-6

anonymous · Answer

now look at your options, none of them are in standard form but 2 of them look kind of similar

anonymous · Answer

we see the 6 is by itself and the y and x are together so rearrange your equation

anonymous · Answer

y+5x=-6 we just moved the x to the other side

anonymous · Answer

so the answer is b