Option (4)
Step-by-step explanation:
Let the equation of the linear function is,
f(x) = mx + b
where m = slope of the line
b = y - intercept
Since slope of a line passing through two points
and
is defined by,
m = ![\frac{y_2-y_1}{x_2-x_1}](/tpl/images/0743/2330/f6758.png)
Slope the line passing through (0, 6) and (3, 0),
m = ![\frac{6-0}{0-3}](/tpl/images/0743/2330/71e71.png)
m = -2
y-intercept given in the graph 'b' = -6
Therefore, linear function will be,
f(x) = -2x - 6
Option (4) will be the answer.