Answer:
Option D. [tex]y=-\frac{1}{2}x+4[/tex]
Step-by-step explanation:
we know that
Looking at the graph
take the points
(0,4) and (2,3)
Find the slope
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute the values in the formula
[tex]m=\frac{3-4}{2-0}[/tex]
[tex]m=\frac{-1}{2}[/tex]
[tex]m=-\frac{1}{2}[/tex]
Find the equation of the line in slope intercept form
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
we have
[tex]m=-\frac{1}{2}[/tex]
[tex]b=4[/tex] ----> the point (0,4) is the y-intercept
substitute
[tex]y=-\frac{1}{2}x+4[/tex]
