Answer:
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
