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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

01

Step 1. Given Information

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

02

Step 2. Explanation     

The slope of a non vertical line is m=riserun

The slope is -11which 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" 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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Most popular questions from this chapter

Find the distance d(P1,P2)between the points P1andP2.

P1=(a,a);P2=(0,0)

For the line 2x+3y=6, the x-intercept is _____ and the y-intercept is _______.

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

P1=(2,-3);P2=(10,3)

The points, if any, at which a graph crosses or touches the

coordinate axes are called ___________.

If two distinct lines have the same slope, but different x-intercepts, can they have the same y-intercept?
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