Use the points (1998,13.60) and (2003,19.00) to write the slope-intercept form an equation for the line of fit shown in the scatter plot

Respuesta :

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