问题


There is a single choice question about high school mathematics. Answer the question by replying A, B, C or D.
Question: What is the slope of the line that passes through the points (5, 4) and (–2, 3)?
A. 0.14
B. 0.2
C. 0.33
D. 5
Answer:

答案

模型 模型答案 正确答案
金声玉亮2.0

B. 0.2
A
deepseekr1

To find the slope of the line passing through the points (5, 4) and (–2, 3), use the slope formula:

\[
\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}
\]

Labeling the points as \((x_1, y_1) = (5, 4)\) and \((x_2, y_2) = (-2, 3)\):

\[
\text{slope} = \frac{3 - 4}{-2 - 5} = \frac{-1}{-7} = \frac{1}{7} \approx 0.14
\]

Checking the answer choices, **0.14** corresponds to **A**. Reversing the points confirms the result, ensuring no calculation errors.

**Answer: A**
A
gpto1 A A
GPT-4o To find the slope of the line that passes through the points (5, 4) and (–2, 3), we use the slope formula:

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points. Plugging in the given points \((5, 4)\) and \((–2, 3)\):

\[ m = \frac{3 - 4}{-2 - 5} = \frac{-1}{-7} = \frac{1}{7} \]

So, the slope \( m \) is \(\frac{1}{7}\), which is approximately 0.14.

Therefore, the correct answer is:

A. 0.14
A
llama3.1-70B-Instruct

To find the slope of the line that passes through the points (5, 4) and (–2, 3), we can use the slope formula:

Slope = (y2 - y1) / (x2 - x1)

where (x1, y1) = (5, 4) and (x2, y2) = (–2, 3)

Plugging in the values, we get:

Slope = (3 - 4) / (–2 - 5)
= -1 / -7
= 1/7
≈ 0.14

So, the correct answer is:

A. 0.14
A
llama3.1-405B-Instruct

B
A
DeepSeek-Coder-V2 B. 0.2 A
Qwen2-72B-Instruct B. 0.2 A
baichuan4 To find the slope (m) between two points (x1, y1) and (x2, y2), we use the formula:

m = (y2 - y1) / (x2 - x1)

Plugging in the points (5, 4) and (-2, 3):

m = (3 - 4) / (-2 - 5)
m = (-1) / (-7)
m = 1/7

1/7 is approximately 0.14, so the correct answer is:

A. 0.14
A
doubao C. 0.33

The slope between two points (x1, y1) and (x2, y2) is given by (y2 - y1) / (x2 - x1). Here, (x1 = 5, y1 = 4) and (x2 = -2, y2 = 3), so the slope is (3 - 4) / (-2 - 5) = -1 / -7 = 0.33.
A
minimax To find the slope of the line that passes through the points (5, 4) and (–2, 3), we use the slope formula:

Slope (m) = (y2 - y1) / (x2 - x1)

Plugging in the coordinates of the two points:

m = (3 - 4) / (-2 - 5)
m = (-1) / (-7)
m = 1/7

Now, we need to convert 1/7 to a decimal to match the answer choices:

1/7 ≈ 0.142857...

The closest answer choice to 0.142857... is:

A. 0.14

So the answer is A. 0.14.
A
kimi To find the slope of the line that passes through two points \((x_1, y_1)\) and \((x_2, y_2)\), you can use the formula:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Given the points \((5, 4)\) and \((-2, 3)\), we can plug these values into the formula:

\[
m = \frac{3 - 4}{-2 - 5} = \frac{-1}{-7} = \frac{1}{7} \approx 0.14
\]

So the correct answer is:
A. 0.14
A
wenxinyiyan A

Explanation:
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
$m = \frac{y2 - y1}{x2 - x1}$
Using the given points (5, 4) and (–2, 3), we have:
$x1 = 5, y1 = 4$
$x2 = -2, y2 = 3$
Substituting these values into the slope formula, we get:
$m = \frac{3 - 4}{-2 - 5}$
$m = \frac{-1}{-7}$
$m = 0.14$ (approximated to 2 decimal places)
Hence, the slope of the line is 0.14.
A
zhipu To find the slope of the line passing through the points \((5, 4)\) and \((-2, 3)\), we use the slope formula:

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Here, \((x_1, y_1) = (5, 4)\) and \((x_2, y_2) = (-2, 3)\).

Substitute these values into the formula:

\[ m = \frac{3 - 4}{-2 - 5} \]
\[ m = \frac{-1}{-7} \]
\[ m = \frac{1}{7} \]

The slope \( m \) is \(\frac{1}{7}\), which is approximately 0.14.

Therefore, the correct answer is:
A. 0.14
A
gpto1 A A
deepseekv3 To find the slope of the line that passes through the points (5, 4) and (–2, 3), we use the formula for slope:

\[
\text{Slope} = \frac{y_2 - y_1}{x_2 - x_1}
\]

Substituting the given points \((x_1, y_1) = (5, 4)\) and \((x_2, y_2) = (-2, 3)\):

\[
\text{Slope} = \frac{3 - 4}{-2 - 5} = \frac{-1}{-7} = \frac{1}{7} \approx 0.14
\]

Thus, the correct answer is **A. 0.14**.
A