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Chapter 3: Q 191. (page 293)

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

(7,2)and(7,-2)

Short Answer

Expert verified

Equation of line is:x=7

No slope-intercept form.

Step by step solution

01

Step 1. Given Data

Points:(7,2)and(7,-2)

02

Step 2. Finding the slope using given points

The slope of the line through(7,2)and(7,-2):

m=y2-y1x2-x1(1)where,y2=-2y1=2x2=7x1=7Puttingvaluesin(1),wegetm=-2-27-7=-40Theslopeisundefined.

03

Step 3. Equation of the line. 

Since the Slope is undefined which means it is a vertical line.

Both of the points have an x-coordinate of 7.

So, our equation of a line is:x=7

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