Write the equation of the linear function shown on the graph
(-1,4) (1,0)
To find the equation of the linear function, we need to calculate the slope first.
Slope (m) = (y2 - y1) / (x2 - x1)
= (0 - 4) / (1 - (-1))
= -4 / 2
= -2
Now we can use the slope and one of the points to write the equation in the form y = mx + b.
Using the point (-1,4):
4 = -2(-1) + b
4 = 2 + b
b = 2
Therefore, the equation of the linear function is y = -2x + 2.