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Chapter 1: Q. 95 (page 42)

7x+2y=21

(a) find the intercepts of the graph of equation

(b) graph the equation.

Short Answer

Expert verified

Part (a) x-intercept: 3; y-intercept: 10.5

Part (b) Graph of the equation, 7x+2y=21

Step by step solution

01

Part (a) Step 1. Given information

Equation of a line:7x+2y=21

02

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

To find the x-intercept, put y=0

7x+2(0)=21

7x=21

x=217

x=3

03

Part (a) Step 3. Finding y-intercept

To find the y-intercept, put x=0

7(0)+2y=21

0+2y=21

2y=21

y=212

y=10.5

04

Part (b) Step 1. Graphing the equation

Graphing the equation, using the intercepts found above:

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