Chapter 4.1, Problem 14PPS

To determine

To find: The equation of the line.

Answer to Problem 14PPS

The equation of the line is $2x+y=9$

Explanation of Solution

Given:

The point and slope $\left(m\right)$ are $\left(2,5\right)$ and - $2$ respectively

Formula used:

Following point-slope formula is used to compute the equation of a line:

  $y-y_1=m\left(x-x_1\right)$

Calculation:

Here,

  $x_1=2,y_1=5,m=-2$

Now, the equation of line using the provided information can be calculated as:

  $\begin{array}{l}y-y_1=m\left(x-x_1\right)\\ y-5=-2\left(x-2\right)\\ y-5=-2x+4\\ 2x+y=9\end{array}$

Hence, the required equation of the line is $2x+y=9$