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Chapter 1: Q. 16 (page 40)

Plot each pair of points and determine the slope of the line containing them. Graph the line by hand.
$(4, 2); (3, 4)$

Short Answer

Expert verified

The slope of the line is $- \frac{2}{1}$ and the graph is

Step by step solution

01

Step 1. Given Information

The given points are $(4, 2); (3, 4)$

02

Step 2. Calculation

Use the slope formula to find the slope of the line between the given points.

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{4 - 2}{3 - 4} = - \frac{2}{1}$

03

Step 3. Graph

The line is graphed by drawing a line passing through the points.

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Most popular questions from this chapter

Find the distance $d (P_{1}, P_{2})$ between the points $P_{1} and P_{2}$ .

$P_{1} = (4, - 3); P_{2} = (6, 4)$

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

$P (1, 2), m = 3$

If $- 3$ and 5 are the coordinates of two points on the real number line, the distance between these points is _________.

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

$5 x^{2} = 13 x + 6$

Determine the coordinates of the points shown. Tell in which quadrant each point lies. Assume the coordinates are integers.

See all solutions

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