Chapter 4, Problem 20SGR

To determine

To Find: The equation of the line in point slope form passing through $\left(-2,1\right)$ and slope $-3$ .

Answer to Problem 20SGR

The equation of line in point slope form is $y-1=-3\left(x+2\right)$ .

Explanation of Solution

Given information:

Line passing through $\left(-2,1\right)$ and slope $-3$

Concept and Formula Used:

Equation of line passing through point and given slope $y-y_1=m\left(x-x_1\right)$ .

Calculation:

It is given that line passing through $\left(-2,1\right)$ and slope $-3$

Equation of line through point and given slope is

  $\begin{array}{l}y-y_1=m\left(x-x_1\right)\\ \text{where }\left(x_1,y_1\right)=\left(-2,1\right)\&m=-3\\ y-\left(1\right)=-3\left(x-\left(-2\right)\right)\\ y-1=-3\left(x+2\right)\end{array}$

Conclusion:

The equation of line in point slope form is $y-1=-3\left(x+2\right)$ .