Answer:
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 [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is defined by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope the line passing through (0, 6) and (3, 0),
m = [tex]\frac{6-0}{0-3}[/tex]
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.
