Answer: 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
