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Chapter 1: Q. 13 (page 40)

In problems 11-14,(a)find the slope of the line and (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-113with the 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:

-2,2,1,1

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

x1,鈥�y1=-2,鈥�2,鈥�x2,鈥�y2=1,鈥�1m=1-21--2m=-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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Most popular questions from this chapter

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand.

(4,2);(3,4)

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

5y+4y=3

The figure shows the graph of two perpendicular lines. Which of the following pairs of equations might have such a graph?

(a)y-2x=2y+2x=-1(b)y-2x=02y+x=0(c)2y-x=22y+x=-2(d)y-2x=2x+2y=-1(e)2x+y=-22y+x=-2

Tell whether the given points are on the graph of the equation.

Equation:y=x4-xPoints:(0,0);(1,1);(-1,0)

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

x+2x-3=x-32
See all solutions

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