Respuesta :
The equation of a line passing through two points is given by,
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}\times(x-x_1)[/tex]Consider that the line of best fit passes through (9,5) and (12,6),
[tex]\begin{gathered} y-5=\frac{6-5}{12-9}\times(x-9) \\ y-5=\frac{1}{3}\times(x-9_{}) \\ 3y-15=x-9 \\ x-3y+6=0 \end{gathered}[/tex]Note that 'x' denotes the number of black seeds, and 'y' denotes the number of white seeds in a particular piece of watermelon.
The value of 'y' corresponding to 90 black seeds i.e. x=90, is calculated as,
[tex]\begin{gathered} 90-3y+6=0 \\ 3y=96 \\ y=32 \end{gathered}[/tex]Thus, Kelsey should expect 32 white seeds in a piece of watermelon that has 90 black seeds.
