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

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

-9

step-by-step explanation: