Given point (-6, -3) and a slope of 4, write an equation in point-slope form. A. y - 3 = 4(x - 6) B. y + 3 = 4(x - 6) C. y + 3 = 4(x + 6) D. y - 3 = 4(x + 6)

Respuesta :

Answer:

C

Step-by-step explanation:

So we have the point (-6,-3) and a slope of 4.

And we want to write this into point-slope form.

The point-slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

Therefore, substitute in 4 for m and let (-6,-3) be x₁ and y₁, respectively.

Therefore:

[tex]y-(-3)=4(x-(-6))[/tex]

Two negatives make a positive:

[tex]y+3=4(x+6)[/tex]

The answer is C

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