Answer:
Slope(green box) = -3
Intercept(grey box) = 8
Explanation:
To determine the best equation to represent the given pattern, we need to find two things.
First: we need to figure out the slope of the function, or in other words, how much the y value changes by each time the x value changes.
Second: we need to find the y-intercept, which is the value of y when x = 0. This value will be the constant of the function which is added to the equation each time.
To start, let's analyze the pattern to find the slope of the function...
As the x -values go up by 1 each time, the y-values are as follows:
5 --> 2 --> -1 --> -4 --> -7
It looks like the numbers decrease by 3 each time, so we can safely assume our slope is -3.
Now, let's find our intercept. We can do this by going to our lowest x value, and adding 3 (opposite direction of our slope) from its y-value to find the y-value of x = 0.
So...
When x = 1, y = 5
5 + 3 = 8
So when x = 0, y = 8, our intercept!