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91Ó°ÊÓ

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

(b) Graph the equation

3x-2y=6

Short Answer

Expert verified

(a)

x-intercept is(2,0)

y-intercept is(0,-3)

(b)

Step by step solution

01

Step 1. Given information

The equation of a line is

3x-2y=6

02

Step 2. Finding the x-intercept

The equation of the line is

3x-2y=6

Plug y=0and find y-value

3x-2×0=63x-0=63x=6x=2

So,

x-intercept is(2,0)

03

Step 3. Finding the y-intercept

The equation of a line is

3x-2y=6

Plug x=0and find y-value

3×0-2y=60-2y=6-2y=6y=-3

So,

y-intercept is(0,-3)

04

Step 4. Sketching the graph

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

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