brainliest goes to whoever answers the question correctly also if you want more points answer my other questions

f(x) = -½x + 16

Step-by-step explanation:

Using two points in the line, (0, 16) and (4, 14), we can write an equation for the linear function in the slope-intercept form, f(x) = mx + b, by finding the slope (m) and the y-intercept (b), then substituting each of the value into f(x) = mx + b.

✔️Slope (m) = change in y/change in x

Using, (0, 16) and (4, 14),

Slope (m) = (14 - 16)/(4 - 0) = -2/4

m = -½

✔️y-intercept (b) would be the value of y when x = 0, or the point at which the y-axis is intercepted by the line.

Thus,

When x = 0, y = 16

Therefore,

b = 16

✅Write the equation of the function by substituting m = -½ and b = 16 into f(x) = mx + b

Thus:

f(x) = -½x + 16

the answer is d

the answer is in the first quadrant, which make the y-int positive.

since the dots are going down, therefore the correlation is negative

i hope it is right.