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Chapter 13: Q. 14 (page 532)

Find the slope and length of AB.

14. A(8, -7), B(-3, -5)

Short Answer

Expert verified

The slope of the line is−0.18 and the length of the line is55 units.

Step by step solution

01

Step-1 – Given

The given pointsare A(8, -7) and B(-3, -5).

02

Step-2 – To determine

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

03

Step-3 – Calculation 

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

m=y2−y1x2−x1

The given points are A(8, -7) and B(-3, -5).

m=−5−−7−3−8=2−11=−0.18

Length of the lineAB¯:

x2−x12+y2−y12=−5−−72+−3−82=125=55

So, the slope of the line is−0.18 and the length of the line is 55units.

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Most popular questions from this chapter

In Exercises 27-32 find and then compare lengths of segments.

Quadrilateral TAUL has vertices T(4, 6), A(6, -4), U(~4, -2), and L(-2, 4), Show that the diagonals are congruent.

In Exercises 35-38 find an equation of the circle described and sketch the graph.

The circle has diameter RS where R is (-3, 2) and S is (3, 2).

In Exercises 28 and 29,

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

(b) use the converse of the Pythagorean Theorem to show that triangle RST is a right triangle, and

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

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

10. Find the distance between the points named. Give all answers in simplest

form.

  1. (0, 0) and (5, -3).
  2. (3, -2) and (-5, -2).
  3. (4, 4) and (-3, -3).

10. Find the distance between the points named. Give all answers in simplest

form.

  1. (0, 0) and (5, -3).
  2. (3, -2) and (-5, -2).

3. (4, 4) and (-3, -3).
See all solutions

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