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Chapter 3: Q.469 (page 358)

In the following exercises, find the equation of a line containing the given points. Write the equation in slope鈥搃ntercept form.

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

Short Answer

Expert verified

The equation of the line passing through the point (5, 2) and (-1, 2) is:y=2

Step by step solution

01

Step 1. Given information:

Given two points are (5, 2) and (-1, 2).

02

Step 2. Concepts

Here we can use slope and slope - point formula to find the equation of the line.

Slope =y2-y1x2-x1

Slope - point formula:

y-y2=m(x-x2)

03

Step 3. Explanation

Using slope formula,

m=2-2-1-5

鈬�m=0

Using equation of the line,

y-y1=m(x-x1)

Substituting the slope and one of the given point,

y-2=0(x-5)

Multiplying zero by any number or term by zero we get the result is zero.

Therefore equation of the line is y = 2.

So slope intercept form is looks like:

y=0x+2

04

Step 4. Conclusion

Hence, equation of the line passing trough the points (5, 2) and (-1, 2) isy=0x+2.

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