Chapter 3: Q12. (page 205)

Find the slope of the line that passes through each pair of points.
$(- 4, 7), (8, - 1)$

Short Answer

Expert verified

The slope of the line that passes through the given pair of points is $\frac{- 2}{3}$ .

Step by step solution

Step 1. Write the formula to find the slope of the line that passes through two points.

The slope of the line (m) that passes through the two points $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ is:

width="87">m=y2−y1x2−x1

Step 2. Find the slope of the line that passes through the points −4,7 and 8,−1.

The slope of the line (m) that passes through the points $(x_{1}, y_{1}) = (- 4, 7)$ and $(x_{2}, y_{2}) = (8, - 1)$ is:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{- 1 - 7}{8 - (- 4)} = \frac{- 8}{8 + 4} = \frac{- 8}{12} = \frac{- 2}{3}$

The slope of the line that passes through the given pair of points is $\frac{- 2}{3}$ .

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Find the slope of the line that passes through each pair of points.
$(- 4, 7), (8, - 1)$

Short Answer

Step by step solution

Step 1. Write the formula to find the slope of the line that passes through two points.

Step 2. Find the slope of the line that passes through the points −4,7 and 8,−1.

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Find the slope of the line that passes through each pair of points.−4,7,8,−1

Short Answer

Step by step solution

Step 1. Write the formula to find the slope of the line that passes through two points.

Step 2. Find the slope of the line that passes through the points −4,7 and 8,−1.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Calculus

Pure Maths

Mechanics Maths

Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Find the slope of the line that passes through each pair of points.
$(- 4, 7), (8, - 1)$