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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

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 -21which 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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Most popular questions from this chapter

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

(-3,-1);(2,-1)

Plot the points (0,3),(1,3),(-2,3),(5,3),and (-4,3). Describe the set of all points of the form (x,3), where x is a real number.

Find the midpoint of the line segment joining the points P1 and P2 .

P1=(-2,0);P2=(2,4)

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

P(2,-4),m=0

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

x+2x-3=x-32
See all solutions

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