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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−axis is 0.
  2. The slope o fx−axis is undefined.

Step by step solution

01

Part a. Step-1 – Given

The given axis isx−axis.

02

Step-2 – To determine

We have tofind the slope of thex−axis.

03

Step-3 – Calculation

Slope formula of a line with two points x1,y1  and  x2,y2is:m=y2−y1x2−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−axisis: m=0−02−−1=0

So, the slope of theis 0.

04

Part b. Step-1 – Given

The given axis isy−axis.

05

Step-2 – To determine

We have tofind the slope of they−axis.

06

Step-3 – Calculation

Slope formula of a line with two points x1,y1  and  x2,y2is

m=y2−y1x2−x1

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

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

m=3−10−0=20=undefined

So, the slope of the is undefined.

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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 slope and length of AB.

A(-3, -2), B(7, -6)

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

(7, 2); (2, 7)

Find the center and radius of each circle.

x+72+y−82=3625

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?

13. A(0, 3), B(-2, 1), C(3, 6)
See all solutions

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