What is the linear function equation that is represented in the graph?

y = (-1/2)*x + 1

Step-by-step explanation:

In the graph we can see a linear equation, the first thing we know is that a linear equation has the shape of:

y = ax + b

first, to find the slope we can use two pairs of the graphed ones, in the notation (x,y) we can select the pairs: (0, 1) and (2, 0)

we have that a = (y2 - y1)/(x2 - x1)

a = (0 - 1)/(2- 0 ) = -1/2

so the slope is -1/2

now, b is the y-intercept, this is the value of y when x = 0, and we can see that this value is 1 (the point where the graph intercepts the y-axis) so b = 1.

then the equation is y = (-1/2)*x + 1

the first option is the answer.