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Chapter 13: Q. 15 (page 532)

Find the slope and length of AB.

A(0, -9), B(8, -3)

Short Answer

Expert verified

The slope of the line is 0.75 and the length of the line is 10 units.

Step by step solution

01

Step-1 – Given

The given pointsare A(0, -9) and B(8, -3).

02

Step-2 – To determine

We have to find the slope and the length of the lineAB炉 .

03

Step-3 – Calculation 

We will use the slope formula with two points x1,y1andx2,y2:

m=y2鈭�y1x2鈭�x1

The given points are A(0, -9) and B(8, -3).

m=鈭�3鈭�鈭�98鈭�0=68=0.75

Length of the line AB炉:

x2鈭�x12+y2鈭�y12=8鈭�02+鈭�3鈭�鈭�92=100=10

So, the slope of the line is 0.75 and the length of the line is 10 units.

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Most popular questions from this chapter

Find the slope of the line through the points named. If the slope is not defined, write not defined.

(1, 2); (-2, -5)

Find the center and radius of each circle.

x+a2+y鈭�b2=c2

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a. the coordinates of T.

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In Exercises 4-9 state:

a. the coordinates of T.

b. the lengths of the legs of the right triangle.

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In Exercises 28 and 29,

(a) find the lengths of the sides of triangle RST,

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(c) find the product of the slopes of RT and ST.

29. R(4, 3), S(-3, 6), T(2, 1)
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