Answer with explanation:
Slope between two points is given by the formula
[tex]=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Finding the slope between two points using the table
[tex]1=\frac{14-8}{-2-1}\\\\=\frac{6}{-3}\\\\= -2\\\\2=\frac{6-8}{2-1}\\\\=\frac{-2}{1}\\\\=-2\\\\3=\frac{6-2}{2-4}\\\\=\frac{4}{-2}\\\\=-2\\\\ \text{Equation of Line}\\\\\frac{y-y_{1}}{x-x_{1}}=m\\\\ \Rightarrow \frac{y-2}{x-4}= -2\\\\y-2=-2 x+8\\\\y= -2 x+8+2\\\\y =-2 x+10[/tex]
Comparing with slope intercept form of line which is
y = m x +c, where m is slope and c is Y intercept.
≡10 →Y intercept
Option A
