Chapter 2: Q20. (page 105)

Find the slope of the line that passes through each pair of points
$(8, - 4), (6, 1)$

Short Answer

Expert verified

The Slope of the line that passes through the points $(8, - 4), (6, 1)$ is $- \frac{5}{2}$ .

Step by step solution

Step-1 – Apply the concept of slope

The slope of a line is the ratio of the change in the y-coordinates to the change in the x- coordinates.

Symbolically, the slope m of the line passing through the points $(x_{1}, y_{1}) and (x_{2}, y_{2})$ is given by $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ where $x_{1} \neq x_{2}$ .

Step-2 – Example of a slope through two points

Suppose a line passes through the points $(2, 4), (3, 0)$ . Then the slope of the line passing through these points is given by

$\begin{matrix} m = \frac{0 - 4}{3 - 2} \\ = \frac{- 4}{1} \\ = - 4 \end{matrix}$

Step-3 – Calculate the slope of the given points

The given points are $(8, - 4) and (6, 1)$ . Therefore, $x_{1} = 8; x_{2} = 6; y_{1} = - 4; y_{2} = 1$ .

Hence the slope of the line through these points is calculated as

$\begin{matrix} m = \frac{1 - (- 4)}{6 - 8} \\ = \frac{1 + 4}{- 2} \\ = \frac{5}{- 2} \\ = - \frac{5}{2} \end{matrix}$

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Column A	Column B
the average (arithmetic mean) of three integers x, y, z and 29	30

Find the slope of the line that passes through each pair of points
$(8, - 4), (6, 1)$

Short Answer

Step by step solution

Step-1 – Apply the concept of slope

Step-2 – Example of a slope through two points

Step-3 – Calculate the slope of the given points

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Find the slope of the line that passes through each pair of points (8,-4),(6,1)

Short Answer

Step by step solution

Step-1 – Apply the concept of slope

Step-2 – Example of a slope through two points

Step-3 – Calculate the slope of the given points

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Applied Mathematics

Discrete Mathematics

Geometry

Pure Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Find the slope of the line that passes through each pair of points
$(8, - 4), (6, 1)$