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Chapter 1: Q. 100 (page 42)

-0.3x+0.4y=1.2

(a) find the intercepts of the graph of equation

(b) graph the equation.

Short Answer

Expert verified

Part (a) x-intercept: -4; y-intercept: 3

Part (b) Graph of the equation, -0.3x+0.4y=1.2

Step by step solution

01

Part (a) Step 1. Given information

Equation of a line:-0.3x+0.4y=1.2

02

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

To find the x-intercept, put y=0

-0.3x+0.4(0)=1.2

-0.3x+0=1.2

x=-1.20.3

x=-4

03

Part (a) Step 3. Finding y-intercept

To find the y-intercept, put x=0

-0.3(0)+0.4y=1.2

0+0.4y=1.2

y=1.20.4

y=3

04

Part (b) Step 1. Graphing the equation

Graphing the equation, using the intercepts found above:

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