What is the equation of this line?

This is a linear equation y = mx + b

It's easy to find its equation since it passes through  2 points:
A(x₁ , y₁) and B(x₂ , y₂) where their coordinates are given :
A(- 2 , - 3) and B(4 , 5)

1st Calculate the slope m =(y₂-y₁)/(x₂-x₁) → m=(5+3)/(4+2) → m= 4/3
The equation becomes: y = (4/3)x+b.
To calculate b, you replace x and y either with the coordinates of A or B:
Let's take B(4,5)
 5 = (4/3)(4) + b → b = - 1/3
And the final equation is y = (4/3).x -1/3