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Chapter 1: Q. 94 (page 42)

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

(b) Graph the equation

6x-4y=24

Short Answer

Expert verified

(a)

x-intercept is(4,0)

y-intercept is(0,-6)

(b)

The graph is

Step by step solution

01

Step 1. Given information

The equation of a line is

6x-4y=24

02

Step 2. Finding the x-intercept

The equation of the line is

6x-4y=24

Plug y=0and find x-value

6x-4脳0=246x-0=246x=24x=4

So,

x-intercept is(4,0)

03

Step 3. Finding the y-intercept

The equation of a line is

6x-4y=24

Plug x=0and find y-value

6脳0-4y=240-4y=24-4y=24y=-6

So,

y-intercept is(0,-6)

04

Step 4. Sketching the graph

Locate points(4,0),(0,-6) on the graph and then join them to sketch the graph.

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