Answer:
[tex]y=1.08x-2144.24[/tex]
Slope: 1.08
y-intercept: -2144.24
Step-by-step explanation:
Equation of a Line
Given two points (a,b) and (c,d), we can write the equation of the line passing through both points in the form
\displaystyle y-b=\frac{d-b}{c-a}(x-a)
We have the points (1998,13.60) , (2003,19.00), plugging them into the formula:
[tex]\displaystyle y-13.6=\frac{19-13.6}{2003-1998}(x-1998)[/tex]
Operating
[tex]\displaystyle y=1.08(x-1998)+13.6[/tex]
[tex]y=1.08x-2144.24[/tex]
Slope: 1.08
y-intercept: -2144.24