contestada

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)

Respuesta :

b is the correct answer

Answer:

B. [tex]y+1=4(x+3)[/tex]

Step-by-step explanation:

We have the point (-3,-1) where i will call [tex]x_{1}=-3[/tex] and [tex]y_{1}=-1[/tex]

also we have the slope equal to 4, which is usually expressed by m, so [tex]m=4[/tex].

Now we use the point-slope equation:

[tex]y-y_{1}=m(x-x_{1})[/tex]

substituting all the values we know, we get:

[tex]y-(-1)=4(x-(-3))[/tex]

solving the multiplications of signs:

[tex]y+1=4(x+3)[/tex]

which is option B.

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