Write the rule for the linear function. Remember a function rule is written using f(x)

The rule for the linear function will be:

f(x) = 5/2x - 4

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the function is linear

Taking two points

Finding the slope between (0, -4) and (2, 1)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]  

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

                 = 5 / 2

Thus, the slope of the line = m = 5/2

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = -4

Thus, the y-intercept b = -4

Now, substituting m = 5/2 and b = -4 in the slope-intercept form of linear function

y = mx+b

y = (5/2)x + (-4)        ∵ m = 5/2, b = -4

y = 5/2x - 4

or

f(x) = 5/2x - 4     ∵  y = f(x)

Therefore, the rule for the linear function will be:

f(x) = 5/2x - 4

1 3 5

step-by-step explanation:

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i think its a and d

step-by-step explanation: