Answer:
y = -328.275x + 1829.05
Step-by-step explanation:
In this case, we need to write an equation of this form:
y = ax + b (1) a: slope b: intercept
In order to calculate the slope, we need to use the following expression:
a = y₂ - y₁ / x₂ - x₁ (2)
So, we have two points here, so, from these points we can identify each of the elements so we can determine the slope.
Point 1: (2, 2485.6)
Point 2: (6, 1172.5)
The slope of this equation will be:
a = 1172.5 - 2485.6 / 6 - 2
a = -328.275
Now that we have the slope, to get the intercept "b", we just use any of the given points, and replace in the general equation (1) to solve for b:
2485.6 = -328.275(2) + b
b = 2485.6 - 656.55
b = 1829.05
With the value of a and b, we can write the general equation of the line for this:
Hope this helps
