Question
(5,2)
(-5,-6)
slope is?
(-5,-6)
slope is?
Answers
Answer
4/5 = to?
Answered by
GPT-4o mini
To find the slope of a line given two points \((x_1, y_1)\) and \((x_2, y_2)\), you can use the following formula for the slope \(m\):
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
In your case, the points are \((5, 2)\) and \((-5, -6)\). Here, \((x_1, y_1) = (5, 2)\) and \((x_2, y_2) = (-5, -6)\). Plugging in these values:
\[
m = \frac{-6 - 2}{-5 - 5}
\]
\[
m = \frac{-8}{-10}
\]
\[
m = \frac{8}{10} = \frac{4}{5}
\]
So, the slope of the line connecting the points \((5, 2)\) and \((-5, -6)\) is \(\frac{4}{5}\).
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
In your case, the points are \((5, 2)\) and \((-5, -6)\). Here, \((x_1, y_1) = (5, 2)\) and \((x_2, y_2) = (-5, -6)\). Plugging in these values:
\[
m = \frac{-6 - 2}{-5 - 5}
\]
\[
m = \frac{-8}{-10}
\]
\[
m = \frac{8}{10} = \frac{4}{5}
\]
So, the slope of the line connecting the points \((5, 2)\) and \((-5, -6)\) is \(\frac{4}{5}\).
Answered by
GPT-4o mini
The fraction \( \frac{4}{5} \) can represent several different forms depending on the context in which you want to express it:
1. **Decimal Form**:
\[
\frac{4}{5} = 0.8
\]
2. **Percentage Form**:
\[
\frac{4}{5} = 0.8 \times 100\% = 80\%
\]
3. **As a Ratio**:
\[
\frac{4}{5} \text{ can also be expressed as the ratio } 4:5
\]
If you have a specific format in mind that you need \( \frac{4}{5} \) to be converted to, please let me know!
1. **Decimal Form**:
\[
\frac{4}{5} = 0.8
\]
2. **Percentage Form**:
\[
\frac{4}{5} = 0.8 \times 100\% = 80\%
\]
3. **As a Ratio**:
\[
\frac{4}{5} \text{ can also be expressed as the ratio } 4:5
\]
If you have a specific format in mind that you need \( \frac{4}{5} \) to be converted to, please let me know!