Hello, Jssoyg! I've solved the problem for you below. I hope it helps.
Slope equation is[tex]\frac{y2 - y1}{x2 - x1}[/tex]. The two points are (0,1) and (4,2), so the equation becomes [tex]\frac{2 - 1}{4 - 0} = \frac{1}{4}[/tex]. We now know that the slope is 1/4, so now let's write it in the [tex]y = mx + b[/tex] format. Plug in the m, x, and y values:[tex]2 = 4*\frac{1}{4} + b[/tex].
This becomes [tex]2 = 1 + b[/tex] which means b = 1.
Your answer is y = 1/4x + 1. Hope this was helpful. :D