The equation for the following pattern would be:
y = -3x + 8
To find the slope, we can use two pairs of points and follow the process of y-y/x-x.
Doing so, let’s use the two points (1,5) and (2,2) and carry this out:
2 - 5 = -3
2 - 1 = 1
-3/1 = -3
Our slope is -3.
As the pattern goes further, the y values subtract by 3 each time.
Since that’s the case, we can use the point (1,5) and add 3 to 5 to get our initial value of y:
5 + 3 = 8
Upon addition, 8 is our y-intercept.
The final equation is: y = -3x + 8