Q. 96 - Precalculus Enhanced with Graphing Utilities

Question

$5x+3y=18$

(a) find the intercepts of the graph of equation

(b) graph the equation.

Step-by-Step Solution

Answer

Part (a) x-intercept: 3.6 ; y-intercept: 6

Part (b) Graph of the equation, $5x+3y=18$

Part (a) Step 1. Given information

Equation of a line: $5x+3y=18$

Part (a) Step 2. Finding the x-intercept

To find the x-intercept, put $y=0$

$5x+3\left(0\right)=18$

$5x+0=18$

$5x=18$

$x=\frac{18}{5}$

$x=3.6$

Part (a) Step 3. Finding y-intercept

To find the y-intercept, put $x=0$

$5\left(0\right)+3y=18$

$0+3y=18$

$3y=18$

$y=\frac{18}{3}$

$y=6$

Part (b) Step 1. Graphing the equation

Graphing the equation, using the intercepts found above: