Chapter 4, Problem 1PT

To determine

To find the given equation in slope-intercept form.

Answer to Problem 1PT

  $y=-3x-10$

Explanation of Solution

Given:

Line passing through the point $\left(-4,2\right)$ with slope $-3.$

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,

  $\left(x_1,y_1\right)=\left(-4,2\right)\&m=-3$

Now the equation of the line is,

  $\begin{array}{l}y-y_1=m\left(x-x_1\right)\\ \Rightarrow y-2=-3\left(x-\left(-4\right)\right)\\ \Rightarrow y-2=-3\left(x+4\right)\\ \Rightarrow y-2=-3x-12\\ \Rightarrow y=-3x-12+2\\ \Rightarrow y=-3x-10\end{array}$