#### Answer

$y = 2x + 4$

#### Work Step by Step

RECALL:
(1) The slope-intercept form of a line's equation is $y=mx+b$ where $m$ = slope and $b$ = y-intercept.
(2) The slope of a line is equal to $\dfrac{rise}{run}$.
Given two points on the line, rise is the increase (or decrease) in the y-value while run is the increase (or decrease) in the x-value.
The line passes through the point $(0, 4)$ therefore the y-intercept is $4$.
The line also passes through the point $(1, 5)$.
Note that from $(0, 4)$ to $(1, 5)$, there is a:
increase in y-value of 2 units $\longrightarrow \text{rise} = 2$
increase in x-value of 1 unit $\longrightarrow \text{run} = 1$
Thus, the slope is:
$=\dfrac{rise}{run} = \dfrac{2}{1} = 2$
With $b=4$ and $m=2$, the equation of the line is:
$y=mx + b
\\y = 2x + 4$