Respuesta :

Answer:

[tex]y=2x+11[/tex]

Step-by-step explanation:

So we know that the slope is 2 and the lines passes through the point (-5,1).

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.

So, let's substitute 2 for m and (-5,1) for (x₁, y₁), respectively. Therefore:

[tex]y-(1)=2(x-(-5))[/tex]

Simplify:

[tex]y-1=2(x+5)[/tex]

Distribute the 2:

[tex]y-1=2x+10[/tex]

Add 1 to both sides:

[tex]y=2x+11[/tex]

So, the equation of our line is:

[tex]y=2x+11[/tex]

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