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Chapter 1: Q. 96 (page 42)

5x+3y=18

(a) find the intercepts of the graph of equation

(b) graph the equation.

Short Answer

Expert verified

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

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

Step by step solution

01

Part (a) Step 1. Given information

Equation of a line:5x+3y=18

02

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

To find the x-intercept, put y=0

5x+3(0)=18

5x+0=18

5x=18

x=185

x=3.6

03

Part (a) Step 3. Finding y-intercept

To find the y-intercept, put x=0

5(0)+3y=18

0+3y=18

3y=18

y=183

y=6

04

Part (b) Step 1. Graphing the equation

Graphing the equation, using the intercepts found above:

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