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Chapter 1: Q. 32 (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),(-3,1),(-4,-1)

Step by step solution

01

Step 1. Given Information

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

02

Step 2. Explanation 

The slope of a non vertical line is m=riserun

The slope is 2 which means that for every horizontal movement or run of 1 unit, there will be corresponding vertical movement or rise of 2 units.

Start at the given point move 1 unit horizontally to the right and 2 units vertically up to get the first point on the line that is (-1,5).

We can also rewrite the slope as -2-1.

Start from the point (-2,3). Since both the numerator and denominator are negative, move 1 unit to the left and 2 units down to get another point. Thus, the point obtained is (-3,1).

In order to find the third point, move 1 unit to the left and 2 units down from the point (-3,1)

Thus, we get the third point(-4,-1)

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Most popular questions from this chapter

Find the length of the line segment. Assume that the endpoints of each line segment have integer coordinates.

A student is asked to find the slope of the line joining (-3, 2) and (1, -4). He states that the slope is 32. Is he correct? If not, what went wrong?

Graph the line containing the point P and having slope m.

P(1,2),m=3

Tell whether the given points are on the graph of the equation.

Equation:y=x3-2xPoints:(0,0);(1,1);(1,-1)

A cereal company finds that the number of people who will buy one of its products in the first month that it is introduced is linearly related to the amount of money it spends on advertising. If it spends \(40,000 on advertising, then 100,000 boxes of cereal will be sold, and if it spends \)60,000, then 200,000 boxes will be sold.

(a) Write a linear equation that relates the amount A spent on advertising to the number x of boxes the company aims to sell.

(b) How much advertising is needed to sell 300,000 boxes of cereal?

(c) Interpret the slope.
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