Answer
$y=\frac{1}{2}x+2$
Work Step by Step
RECALL:
The slope-intercept form of a line's equation is $y=mx + b$, where m=slope and b=y-intercept.
The line has a slope of $\frac{1}{2}$, so $m=\frac{1}{2}$.
This means that the tentative equation of the line is $y=\frac{1}{2}x+b$.
The line passes through the point (2, 3), which means that the coordinates of this point satisfies the equation of the line.
Substitute the x and y coordinates of the given point into the tentative equation above to have
$y=\frac{1}{2}x+b
\\3 = \frac{1}{2}(2) + b
\\3 =1 + b
\\3-1 = b
\\2=b.$
Thus, the equation of the line is $y=\frac{1}{2}x+2$.
