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]