Chapter 14, Problem 11MCE

To determine

Tofind: the equation of line.

Answer to Problem 11MCE

The equation of line is $y=-3x-4$ .

Explanation of Solution

Given information:

The points are $F\left(-3,5\right)\text{ and }G\left(0,-4\right)$ .

Calculation: to find equation of the line, first find the slope of the line,

$\begin{array}{l}m=\frac{-4-5}{0-\left(3\right)}\\ m=\frac{-9}{3}\text{ [add]}\\ m=-3\text{ [divide]}\end{array}$

Thus, the equation is $y=-3x+c$ .

Now, substitute a point in the equation,

$\begin{array}{l}y=-3x+c\\ -4=-3\left(0\right)+c\text{ [substitute]}\\ c=-4\text{ [simplify]}\end{array}$

Thus, the equation of line is $y=-3x-4$ .