Chapter 1: Q. 36 (page 41)

The slope and a point on a line are given. Use this information to locate three additional points on the line. Answers may vary.
Slope $- 1$ , Point $(4, 1)$

Short Answer

Expert verified

The three additional points can be $(5, 0), (3, 2), (2, 3)$

Step by step solution

Step 1. Given Information

The given data is slope $- 1$ , point $(4, 1)$

Step 2. Explanation

The slope of a non vertical line is $m = \frac{r i s e}{r u n}$

The slope is $\frac{- 1}{1}$ which implies that for every horizontal movement of 1 unit there will be a corresponding vertical down movement of 1 units.

Now, consider the given point, move 1 unit in the x- direction to the right and 1 unit down in the y-direction.

Thus, we get the first point as $(5, 0)$

We can also rewrite the slope as role="math" localid="1645805143575" $\frac{1}{- 1}$ .

Start from the point $(4, 1)$ and move 1 uit to the left and 1 unit up to get the another point.

Thus, the point obtained as $(3, 2)$ .

In order to find the third point, move 1 unit to the left and 1 unit up from the point $(3, 2)$

Thus, we get the third point as $(2, 3)$

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The slope and a point on a line are given. Use this information to locate three additional points on the line. Answers may vary.
Slope $- 1$ , Point $(4, 1)$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Explanation

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The slope and a point on a line are given. Use this information to locate three additional points on the line. Answers may vary.Slope-1, Point(4,1)

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

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Study anywhere. Anytime. Across all devices.

The slope and a point on a line are given. Use this information to locate three additional points on the line. Answers may vary.
Slope $- 1$ , Point $(4, 1)$