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91Ó°ÊÓ

(a) Find the intercepts of the graph of the equation

(b) Graph the equation

2x+3y=6

Short Answer

Expert verified

(a)

x-intercept is(3,0)

y-intercept is(0,2)

(b)

The graph is

Step by step solution

01

Step 1. Given information

The equation of a line is

2x+3y=6

02

Step 2. Finding the x-intercept

The equation of the line is

2x+3y=6

Plug y=0and find x-value

2x+3×0=62x+0=62x=6x=62=3

So,

x-intercept is(3,0)

03

Step 2. Finding the y-intercept

The equation of a line is

2x+3y=6

Plug x=0and find y-value

2×0+3y=60+3y=63y=6y=2

So,

y-intercept is(0,2)

04

Step 4. Sketching the graph

Locate intercept points (3,0),(0,2)on the graph and then join them to sketch the graph.

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