Chapter 4.1, Problem 4CYU

To determine

To find the equation of line in slope-intercept form.

Answer to Problem 4CYU

  $y=-2x-2$

Explanation of Solution

Given:

Line passing through the point $\left(-4,6\right)$ with slope $-2$ .

Concept used:

Equation of a line passing through the point $\left(x_1,y_1\right)$ with slope m is $y-y_1=m\left(x-x_1\right)$ .

Calculation:

Given,

  $m=-2,\left(x_1,y_1\right)=\left(-4,6\right)$

Now the equation of the line is,

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