Privet! To find the equation of the linear function shown on the graph, we can use the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
First, let's find the slope, which is the change in y divided by the change in x between the two points (-1,4) and (1,0).
Slope = (0 - 4) / (1 - (-1)) = -4 / 2 = -2.
Now that we have the slope, we can substitute it into the slope-intercept form along with one of the points to find the y-intercept (b).
Using the point (-1,4):
4 = -2*(-1) + b
4 = 2 + b
b = 4 - 2
b = 2
So the equation of the linear function shown on the graph is y = -2x + 2.
Therefore, option y = -2x + 2 would be correct.