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Chapter 1: Q. 11 (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 tan-112with the positive x-axis.

Step by step solution

01

Step 1. Given information.

We have:

02

Part (a). Step 1. Find slope.

Two are are given in given graph:

0,0and 2,1

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

x1,鈥�y1=0,鈥�0,鈥�x2,鈥�y2=2,鈥�1m=1-02-0m=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

Therefore, the line makes am angle tan-112with positive x-axis.

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Most popular questions from this chapter

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

Equation:y=x3-2xPoints:(0,0);(1,1);(1,-1)

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

If 3 and 4 are the legs of a right triangle, the hypotenuse is _________.

Graph the line containing the point P and having slope m.

P(2,-4),m=0

Graph the line containing the point P and having slope m.

P(2,4),m=-34
See all solutions

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