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Chapter 4: Q 180. (page 466)

Graph -x+4y=8using the intercepts

Short Answer

Expert verified

The x-intercept is -8,0.

The y-intercept is 0,2.

Graph of function is

Step by step solution

01

Step 1. Definition 

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

02

Step 2. Calculating x-intercept 

To find x-intercept, let y=0

鈬�-x+40=8

鈬�x=-8

So, the x-intercept is -8,0.

03

Step 3. Calculating y-intercept  

To find y-intercept, let x=0

鈬�-0+4y=8

鈬�y=2

So, the y-intercept is 0,2.

04

Step 4. Graph of function 

The graph of given function using x-intercept and y-intercept is

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