Answer:
[tex]y=2x-10[/tex]
Step-by-step explanation:
We know that the line has a slope of 2 and it passes through the point (3, -4).
So, we can use the point-slope form:
[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 (3, -4) for (x₁, y₁). This yields:
[tex]y-(-4)=2(x-3)[/tex]
Solve for y. Distribute the right:
[tex]y+4=2x-6[/tex]
Subtract 4 from both sides. Therefore, our equation is:
[tex]y=2x-10[/tex]
