Chapter 5.4, Problem 18P

Graph the line that passes through the given point and has the given slope $m$

$(-2,1),m=-3$

To determine

Graph the line that passes through the given point and the given slope m $(-2,1)$ and $m=-3$

Answer to Problem 18P

  $y=6x+14$ be the equation, which is the line that passes through the given point

and the given slope m $(-3,-4)$ and $m=6$

  

Explanation of Solution

Given information:

Graph the line that passes through the given point and the given slope m $(-2,1)$ and $m=-3$

Calculation:

Let us assume $y=mx+b$ an equation , which is the line that passes through the

given point and the given slope m $(-2,1)$ and $m=-3$

Where $m$ slope and $b$ intercept.

Now we can determine the intercept b as:

  $y=-3x+b$

Replace $(x=-2,y=1)$

  $\begin{array}{l}y=-3x+b\\ \Rightarrow 1=-3\times (-2)+b\\ \Rightarrow b=1-6\\ \Rightarrow b=-5\end{array}$

Hence $y=-3x-5$ be the equation, which is the line that passes through the given

point and the given slope m $(-2,1)$ and $m=-3$

Graph: