Answer:
First Option
Step-by-step explanation:
Triangles are are similar if we can turn one into the other by moving, rotating, flipping, or scaling. To solve this problem, we just need to match the ratios of the triangles. For both triangles we need to take the Change in y over the change in x, so:
[tex]\frac{change \ in \ y}{Change \ in \x}=\frac{y-b}{x-0}=\frac{m+b-b}{1-0} \\ \\ y-b=mx \\ \\ \boxed{y=mx+b}[/tex]
As you can see, this is the Slope-Intercept form of the equation of a line, where:
[tex]m: \ slope \\ \\ b: \ y-intercept[/tex]
