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Chapter 13: Q. 2 (page 532)

What can you say about the slope of (a) the x-axis? And (b) the y-axis?

Short Answer

Expert verified
  1. The slope ofx鈭�axis is 0.
  2. The slope o fx鈭�axis is undefined.

Step by step solution

01

Part a. Step-1 – Given

The given axis isx鈭�axis.

02

Step-2 – To determine

We have tofind the slope of thex鈭�axis.

03

Step-3 – Calculation

Slope formula of a line with two points x1,y1鈥夆赌塧苍诲鈥夆赌�x2,y2is:m=y2鈭�y1x2鈭�x1

Let us take any two points(-1, 0) and (2, 0)on the.

Slope of the line joining these two points, i.e., the slope of x鈭�axisis: m=0鈭�02鈭�鈭�1=0

So, the slope of theis 0.

04

Part b. Step-1 – Given

The given axis isy鈭�axis.

05

Step-2 – To determine

We have tofind the slope of they鈭�axis.

06

Step-3 – Calculation

Slope formula of a line with two points x1,y1鈥夆赌塧苍诲鈥夆赌�x2,y2is

m=y2鈭�y1x2鈭�x1

Let us take any two points(0, 1) and (0, 3)on they鈭�axis.

Slope of the line joining these two points, i.e., the slope of is y鈭�axis:

m=3鈭�10鈭�0=20=undefined

So, the slope of the is undefined.

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Most popular questions from this chapter

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

  1. (12, -1) and (0, -6)

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).

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?

14. A(5, -5), B(0, 5), C(2, 1)

Find the slope and length of AB.

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

Find the radii of the circlesx2+y2=2andx鈭�32+y鈭�32=32

Find the distance between the centers of the circles.

c. Explain why the circles must be internally tangent.

d. Sketch the graphs of the circles.
See all solutions

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