Answer:
y = 1/2 x+4
Step-by-step explanation:
Slope intercept form is y = mx+b, where m equals the slope and b is the y-intercept.
The slope can be calculated using the formula [tex]m = \frac{y_{1}-y_{2} }{x_{1}-x_{2} }[/tex].
I'll be plugging in (2,5) and (4,6) to calculate the slope.
m = (6-5)/(4-2) = 1/2
The y-intercept is the y-coordinate of where the line meets the y-axis. In the graph, you can see that the line intersects with the y-axis at (0,4). The y-coordinate of (0,4) is 4, so therefore it is the y-intercept.
Plugin m = 1/2 and b = 4 into the slope-intercept formula (y = mx+b), and you get y = 1/2 x+4
