Question

Choose the equation below that represents the line passing through the point (−3, −1) with a slope of 4.

A. y − 1 = 4(x − 3)
B.y + 1 = 4(x + 3)
C.y − 3 = 4(x + 1)
D.y + 3 = 4(x − 1)

Answer 1

b is the correct answer

Answer 2

B.
`y+1=4(x+3)`

Explanation:

We have the point (-3,-1) where i will call
`x_(1)=-3` and
`y_(1)=-1`

also we have the slope equal to 4, which is usually expressed by m, so
`m=4`.

Now we use the point-slope equation:

`y-y_(1)=m(x-x_(1))`

substituting all the values we know, we get:

`y-(-1)=4(x-(-3))`

solving the multiplications of signs:

`y+1=4(x+3)`

which is option B.