To find the equation of the linear function, we first need to find the slope of the line connecting the two points (-1, 4) and (1, 0).
Slope (m) = (y2 - y1) / (x2 - x1)
Slope = (0 - 4) / (1 - (-1))
Slope = -4 / 2
Slope = -2
Now that we have the slope, we can use one of the given points to find the y-intercept (b).
y = mx + b
0 = -2(1) + b
0 = -2 + b
b = 2
Now we have the slope (-2) and the y-intercept (2), so we can write the equation of the linear function:
y = -2x + 2