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Chapter 1: Q. 101 (page 42)

Find an equation of the x-axis.

Short Answer

Expert verified

Equation of the x-axis:y=0.

Step by step solution

01

Step 1. Finding the slope of x-axis

Taking two points on x-axis: (0,0),(d,0)

Slope, m=y2-y1x2-x1

m=0-0d-0

m=0d

m=0

02

Step 2. Finding the y-intercept

y-intercept is found by substituting point (0,0)in slope-intercept form. which gives,

0=m(0)+bb=0

03

Step 3. Substituting slope and y-intercept in the slope-intercept form of line

Slope-intercept form of line: y=mx+b

Substituting the values obtained above,

y=(0)(x)+0y=0

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Most popular questions from this chapter

A student is asked to find the slope of the line joining (-3, 2) and (1, -4). He states that the slope is 32. Is he correct? If not, what went wrong?

The accepted symbol used to denote the slope of a line is the letter m. Investigate the origin of this symbolism. Begin by consulting a French dictionary and looking up the French word Monter. Write a brief essay on your findings.

What can you say about two lines that have equal slopes and equal y-intercepts?

Find the distance d(P1,P2)between the points P1andP2.

P1=(a,b);P2=(0,0)

Plot the points (0,3),(1,3),(-2,3),(5,3),and (-4,3). Describe the set of all points of the form (x,3), where x is a real number.
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