Chapter 4.1, Problem 43E

To determine

To graph: The linear equation using intercept.

Answer to Problem 43E

The graph of the given equation is

  

Explanation of Solution

Given Information: - We are given an equation $3x+5y=-15$ .

Calculation:

The given equation is

  $3x+5y=-15$

To find x-intercept

put $y=0$

  $\begin{array}{l}3x+5\times 0=-15\\ 3x+0=-15\\ 3x=-15\\ x=\frac{-15}{3}\\ x=-5\end{array}$

  $x$ intercept is $(-5,0)$

To find y intercept of equation

Put $x=0$

  $\begin{array}{l}3\times 0+5y=-15\\ 0+5y=-15\\ 5y=-15\\ y=\frac{-15}{5}\\ y=-3\end{array}$

y-intercept is $(0,-3)$