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Chapter 1: Q. 31 (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 4, Point(1,2)

Short Answer

Expert verified

The three additional points can be(2,6),(3,10),(4,14)

Step by step solution

01

Step 1. Given Information

The given data is slope 4, point(1,2)

02

Step 2. Explanation

The slope of a non vertical line is m=riserun

The slope is 4 which means that for every horizontal movement or run of 1 unit, there will be corresponding vertical movement or rise of 4 units.

Start at the given point move 1 unit horizontally to the right and 4 units vertically up to get the first point on the line that is (2,6)

Now, move point(2,6),1 unit horizontally to the right and 4 units vertically up to get the second point on the line that is (3,10)and further move this point, 1 unit horizontally to the right and 4 units vertically up to get the third point on the line that is (4,14)

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Most popular questions from this chapter

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

x-2=3

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand.

(2,3);(4,0)

True or false The point 1,2is on the line2x+y=4.

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

x2-3x-28=0

True or False The distance between two points is sometimes a negative number.
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