Chapter 1: Q. 35 (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 $- 2$ , Point $(- 2, - 3)$

Short Answer

Expert verified

The three additional points can be $(- 1, - 5), (0, - 7), (1, - 9)$

Step by step solution

Step 1. Given Information

The given data is slope $- 2$ , point $(- 2, - 3)$

Step 2. Explanation

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

The slope is $\frac{- 2}{1}$ which implies that for every horizontal movement of 1 unit there will be a corresponding vertical down movement of 2 units.

Now, consider the given point, move 1 unit in the x- direction to the right and 2 units down in the y-direction.

Thus, we get the first point as $(- 1, - 5)$

Next, move this obtained point, 1 unit in the x- direction to the right and 2 units down in the y-direction which gives the second point on the line as $(0, - 7)$

Further, move this obtained point, 1 unit in the x- direction to the right and 2 units down in the y-direction which gives the third point on the line as $(1, - 9)$

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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 $- 2$ , Point $(- 2, - 3)$

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-2, Point(-2,-3)

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

Discrete Mathematics

Geometry

Calculus

Mechanics Maths

Statistics

Logic and Functions

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 $- 2$ , Point $(- 2, - 3)$