PLZ HELP! WILL GIVE BRAINLIEST:)
What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)? A. y = 3x + 4 B. y = 3x − 14 C. y = 3x − 4 D. y = 3x + 12

Respuesta :

Answer:

A

Step-by-step explanation:

So we know the slope and a point the line goes through. So, we can use the point-slope form.

The point-slope form is:

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

Where m is the slope and (x₁, y₁) is a point.

Let's substitute 3 for m and (-3,-5) for (x₁, y₁). Thus:

[tex]y-(-5)=3(x-(-3))[/tex]

Simplify: "

[tex]y+5=3(x+3)[/tex]

Distribute:

[tex]y+5=3x+9[/tex]

Subtract 5 from both sides:

[tex]y=3x+4[/tex]

So, our answer is A.

And we're done!