Given:
The coordinates of line are, (-3,2) and (1,10).
The objective is to choose the correct equation of line.
Explanation:
Consider the given coordinates as,
[tex]\begin{gathered} (x_1,y_1)=(1,10) \\ (x_2,y_2)=(-3,2) \end{gathered}[/tex]
The general formula to find the equation of line using two points is,
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
On plugging the coordinates in the above equation.
[tex]\begin{gathered} y-10=\frac{2-10}{-3-1}(x-1) \\ y-10=\frac{-8}{-4}(x-1) \\ y-10=2(x-1) \end{gathered}[/tex]
Thus, the equation of the line obtained is y - 10 = 2(x - 1).
Hence, option (A) is the correct answer.
