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Chapter 1: Q. 12 (page 40)

In problems 11-14,(a)find the slope of the line and bintercept the slope.

Short Answer

Expert verified

(a) The slope of the line is m=-12.

(b) The line makes an angle 蟺-tan-112 with positivex-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:

-2,1and 0,0

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

x1,鈥�y1=-2,鈥�1,鈥�x2,鈥�y2=0,鈥�0m=0-10--2m=-12

03

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

Slope of the line is given by:

m=tan胃-12=tan胃胃=tan-1-12胃=蟺-tan-112

Therefore, the line makes an angle蟺-tan-112with the positivex-axis.

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