We can write the linear equation as y = -1.5x + 10.1
How to find the linear equation?
If a linear equation passes through two points (x₁, y₁) and (x₂, y₂), then the slope of the line is:
a = (y₂ - y₁)/(x₂ - x₁)
Here we have the two points (1.8,7.4) and (1.2,8.3), replacing that in the formula we will get:
a = (8.3 - 7.4)/(1.2 - 1.8) = -1.5
Then we can write the line as:
y = -1.5x + b
Replacing the values of the point (1.8, 7.4) we will get:
7.4 = -1.5*1.8 + b
7.4 + 1.5*1.8 = b
10.1 = b
The linear equation is:
y = -1.5x + 10.1