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Magazine Chapter 3: Q.468 (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.
(3, 8) and (3, 鈭�4)
Short Answer
Equation of the line passing through the point (3, 8) and (3, -4) is:
Step by step solution
Step 1. Given information
Given two points are (3, 8) and (3, -4).
Step 2. Concepts
Here we can use slope and slope - point formula to find the equation of the line.
Slope =
Slope - point formula:
Step 3. Explanation
Using slope formula,
Slope of the line is,
It means slope of the line is undefined.
If the slope of a line is undefined, then the line is a vertical line, so it cannot be written in slope intercept form.
But it can be written in the form: x=a,
Where a is a constant.
Therefore equation of the line is, x = 3.
Step 4. Conclusion
Hence, equation of the line passing through the points (3, 8) and (3, -4) is x = 3.
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