Chapter 4.2, Problem 4CYU

To determine

To find: The equation of the line.

Answer to Problem 4CYU

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

Explanation of Solution

Given:

The point and slope $\left(m\right)$ are $\left(-4,6\right)$ 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,

  $x_1=-4,y_1=6,m=-2$

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

  $\begin{array}{l}y-y_1=m\left(x-x_1\right)\\ y-6=-2\left(x-\left(-4\right)\right)\\ y-6=-2x-8\\ 2x+y=-2\end{array}$

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