Answer:
[tex]f(x)=\frac{1}{4}x-4[/tex]
Step-by-step explanation:
To find the equation of a linear function , we pick two points from the graph
LEts pick two points (0,-4) and (4,-3)
Equation of linear function is [tex]f(x)=mx+b[/tex]
where m is the slope and b is the y intercept
[tex]slope = \frac{y_2-y_1}{x_2-x_1}[/tex]
(0,-4) is (x1,y1) and (4,-3) is (x2,y2)
[tex]slope m= \frac{y_2-y_1}{x_2-x_1}=\frac{-3+4}{4-0} =\frac{1}{4}[/tex]
y intercept is the point where the graph crosses y axis
y intercept [tex]b=-4[/tex]
Linear function becomes
[tex]f(x)=\frac{1}{4}x-4[/tex]
