Algebra question please help and show work for brainliest

Slope-Intercept: y = mx + b ; where "m" is the slope and "b" is the y-intercept
Start with "b". Where does the line cross the y-axis? at 0
Next, look at the slope. Pick two point and count the rise over run. Let's use the points (2, 5) and (4, 10). The rise = +5 (up 5 ) and the run = +2 (right 2)
[tex]\frac{rise}{run} = \frac{5}{2}[/tex] = 2.5
Now, plug in the "m" and "b" into the Slope-Intercept formula:
y = 2.5x + 0 ⇒ y = 2.5x
Answer: C
Note: you can also use the slope formula to find "m": m = (y₂ - y₁)/(x₂ - x₁)