Answer:
y = x + 4
Explanation:
Well, the important thing is to get the slope first. The slope here is 1.
Here's how to find the slope yourself:
m (slope) = (y₁ - y₂)/x₁ - x₂
m (slope) = (3 - 4)/(-1 - 0)
m (slope) = -1/-1
m (slope) = 1
So, we found the slope. Now, plug it into the equation. y = 1x + b. Cool, so now let's choose the first point to solve this.
So, 3 = 1(-1) + b
3 = -1 + b
3+1 = -1+1 + b
The ones cancel out...
4 = b
So, now you plug that into the equation... y = 1x + 4, although you would write it as y = x + 4.