Afunction f(x) is graphed on the coordinate plane. what is the function rule in slope-intercept form? enter your answer in the box. f(x)=

f(x) = -4x - 2

Step-by-step explanation:

slope = -4 and y intercept = -2

y = - 4x + 2

Explanation:

The graph shows a linear function, which is a first degree polynomial, whose form is ax + b.

The rule or fucntion is f(x) = y = ax + b. This form is called the slope-intercept form, because the coefficient a is the slope of the line and b is the y-intercept.

The graph permits you to calculate both parameters.

1) The slope, a is defined in this way:

       ⇒ a = [ 2 - (-2) ] / [ -1 - 0 ] = 4 / (-1) = - 4

2) b, the y-intercept, is the value of the function, y, when x = 0. In the graph you can see that this is - 2. b =  - 2.

3) Substituting the values of a and b in the form y = ax + b, you the rule: