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Chapter 13: Q. 9 (page 526)

Use the distance formula to find the distance between the two points.

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

Short Answer

Expert verified

The distance is52.

Step by step solution

01

Step-1 – Given

The given points are (5, 4) and (1, -2).

02

Step-2 – To determine

We have to find the distance between the two points using the distance formula.

03

Step-3 – Calculation 

Let x1,y1=5,4andx2,y2=1,鈭�2.

Using the distance formula d=x2鈭�x12+y2鈭�y12d=distancewe get:

d=1鈭�52+鈭�2鈭�42d=鈭�42+鈭�62d=16+36d=52

Hence, the required distance is52.

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Most popular questions from this chapter

Name cach line in the figure whose slope is:

a. positive

b. negative

c. zero

d. not defined

Find the distance between the two points. If necessary, you may draw graphs but you shouldn鈥檛 need to use the distance formula.

  1. (0, 0) and (3, 4)

Given points A, B, and C. Find AB, BC, and AC. Are A, B, and C collinear?

If so, which point lies between the other two?

15. A(-5, 6), B(0, 2), C(3, 0)

A line passes through points (-2, -1) and (4, 3). Where does the line intersect the x-axis? the y-axis?

Does the slope of the line appear to be positive, negative, zero, or not defined?
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