the equation of the line fully simplified slope-intercept fo 12 11 10 6- 8. 6. -4 1 -12-11-10-9 -8 -7-6 54-3 -2 -1, 1 2 3 4 5 6789 10 11 12 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The equation lines fully simplified slop-intercept form
te the equation of the line fully simplified slope-intercept fo-
12
10
6-
8.
7.
-12-11-10 -9 -8 -7 -6>5-4 -3 -2 -1
2 3 4 5 6 7 8 9 10 11 12
-2
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-4
-5
-6
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-12
search
LO st m N H
Transcribed Image Text:te the equation of the line fully simplified slope-intercept fo- 12 10 6- 8. 7. -12-11-10 -9 -8 -7 -6>5-4 -3 -2 -1 2 3 4 5 6 7 8 9 10 11 12 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 search LO st m N H
Expert Solution
Step 1

From the given graph, it is observed that the line passes through the points -2,-2 and 0,-3.

The slope intercept form is given by y=mx+b, where m is the slope and b is the y-intercept.

 

Step 2

Find the slope m as follows.

m=y2-y1x2-x1=-3--20--2=-3+22=-12

Now find the value of the  y-intercept using m=-12 and the point 0,-3 as shown below.

y=mx+b-3=-120+b-3=bb=-3

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