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Chapter 1: Q. 1 (page 40)

The slope of a vertical line is ________ ; the slope of a horizontal line is _______.

Short Answer

Expert verified

The slope of a vertical line is infinity; the slope of a horizontal line is zero.

Step by step solution

01

Step 1. Given information.

The slope of a vertical line is ________ ; the slope of a horizontal line is _______.

02

Step 2. Find the slope of the vertical line.

The slope of the line is given by m=tan胃, where 胃is the angle made by the given line with x-axis.

Now, a vertical line makes 90掳angle with the x-axis. Therefore, we get:

m=tan90m=鈭�

03

Step 3. Find slope of the horizontal line.

A horizontal line is a line parallel to the x-axis.

Therefore, we get:

m=tan胃m=tan0m=0

Hence, the slope of a vertical line is infinity; the slope of a horizontal line is zero.

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Most popular questions from this chapter

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

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

True or False The midpoint of a line segment is found by averaging the x-coordinates and averaging the y-coordinates of the endpoints.

Show that the line containing the points (a, b) and (b, a), a b, is perpendicular to the line y = x. Also show that the midpoint of (a, b) and (b, a) lies on the line y = x.

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

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