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Chapter 1: Q. 14 (page 40)

In problems 11-14,(a)find the slope of the line and role="math" localid="1645942833999" (b)intercept the slope.

Short Answer

Expert verified

(a) The slope of the line is m=-13.

(b) The line makes an angle 蟺-tan-1-13with the positive x-axis.

Step by step solution

01

Step 1. Given information.

We have the graph given below:

02

Part (a). Step 1. Find slope. 

Two are are given in given graph:

-1,1,2,2

The slope between two points: Slope=y2-y1x2-x1

x1,鈥�y1=1,鈥�1,鈥�x2,鈥�y2=-2,鈥�2

m=2-1-2-1m=-13

03

Part (b). Step 1. Intercept the slope.   

Slope of the line is given by:

m=tan胃-13=tan胃胃=tan-1-13胃=蟺-tan-113

Therefore, the line makes an angle 蟺-tan-113with the positivex-axis.

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