Chapter 4: Q. 128 (page 530)

Find an equation of a line containing the points $(- 4, 4)$ androle="math" localid="1647334554418" $(- 4, 3)$ .

Short Answer

Expert verified

The equation of the line is $x = - 4$ .

Step by step solution

Step 1. Given Information

The points are:

$(- 4, 4)$ and $(- 4, 3)$ .

Step 2. Finding the slope

The slope of the line:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Inputting the values,

$m = \frac{3 - 4}{- 4 - (- 4)}$

$= \frac{3 - 4}{- 4 + 4} = \frac{- 1}{0}$

The slope is undefined.

Step 3. Equation of a line.

The points have a common x-coordinate which is $- 4$ .

It is a vertical line.

The equation of the line is $x = - 4$ .

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Find an equation of a line containing the points $(- 4, 4)$ androle="math" localid="1647334554418" $(- 4, 3)$ .

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the slope

Step 3. Equation of a line.

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Find an equation of a line containing the points(-4,4)androle="math" localid="1647334554418" (-4,3).

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Finding the slope

Step 3. Equation of a line.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Logic and Functions

Pure Maths

Calculus

Decision Maths

Geometry

Study anywhere. Anytime. Across all devices.

Find an equation of a line containing the points $(- 4, 4)$ androle="math" localid="1647334554418" $(- 4, 3)$ .