Chapter 2: Q3. (page 71)

Mark and Luisa are finding the slope of the line through (2,4) and (-1,5).
Who is correct? Explain your reasoning.

Short Answer

Expert verified

Luisa is correct.

Step by step solution

Step 1- Given information

A pair of points $(2, 4), (- 1, 5)$ .

Step 2- Formula used

The slope formula of a line is:

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

Where, m is slope of the line which is passes through the points $(x_{1}, y_{1}), (x_{2}, y_{2}) and x_{1} \neq x_{2} .$

Step 3- To find the slope

Here, $(x_{1}, y_{1}) = (2, 4) {and (x}_{2}, y_{2}) = (- 1, 5)$

So, $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

\begin{array}{l} \Rightarrow m = \frac{5 - 4}{- 1 - 2} \\ \Rightarrow m = - \frac{1}{3} \end{array}

Therefore, the slope of the line is $- \frac{1}{3}$ .

Hence, the Luisa is correct.

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Mark and Luisa are finding the slope of the line through (2,4) and (-1,5).
Who is correct? Explain your reasoning.

Short Answer

Step by step solution

Step 1- Given information

Step 2- Formula used

Step 3- To find the slope

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Mark and Luisa are finding the slope of the line through (2,4) and (-1,5).Who is correct? Explain your reasoning.

Short Answer

Step by step solution

Step 1- Given information

Step 2- Formula used

Step 3- To find the slope

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Applied Mathematics

Geometry

Probability and Statistics

Pure Maths

Calculus

Study anywhere. Anytime. Across all devices.

Mark and Luisa are finding the slope of the line through (2,4) and (-1,5).
Who is correct? Explain your reasoning.