Question

Which point would I use in the equation? Don’t answer the question in the picture.

Answer 1

Given:

The coordinates of line are, (-3,2) and (1,10).

The objective is to choose the correct equation of line.

Step-by-step explanation:

Consider the given coordinates as,

`\begin{gathered} (x_1,y_1)=(1,10) \\ (x_2,y_2)=(-3,2) \end{gathered}`

The general formula to find the equation of line using two points is,

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

On plugging the coordinates in the above equation.

`\begin{gathered} y-10=(2-10)/(-3-1)(x-1) \\ y-10=(-8)/(-4)(x-1) \\ y-10=2(x-1) \end{gathered}`

Thus, the equation of the line obtained is y - 10 = 2(x - 1).

Hence, option (A) is the correct answer.