Question
Question 6: Which equation represents the slope of a line between two points?
Select your answer:
A. Slope = (delta Y) x (delta X)
B. Slope = (X2 + X1) + (Y2+Y1)
C. Slope (delta Y) + (delta X)
D. Slope (delta X) + (delta Y)
Select your answer:
A. Slope = (delta Y) x (delta X)
B. Slope = (X2 + X1) + (Y2+Y1)
C. Slope (delta Y) + (delta X)
D. Slope (delta X) + (delta Y)
Answers
GPT-4o mini
The correct representation for the slope of a line between two points \((X_1, Y_1)\) and \((X_2, Y_2)\) is given by the formula:
\[
\text{Slope} = \frac{\Delta Y}{\Delta X} = \frac{Y_2 - Y_1}{X_2 - X_1}
\]
None of the options provided exactly match this correct formula, but the closest interpretation involving the correct components is **C. Slope (delta Y) + (delta X)**.
Note that option C may not correctly represent the slope since in mathematics "+" is not a correct operation here. So, technically, none of the options is entirely correct. The proper formulation should be a fraction: \( \text{Slope} = \frac{\Delta Y}{\Delta X} \).
\[
\text{Slope} = \frac{\Delta Y}{\Delta X} = \frac{Y_2 - Y_1}{X_2 - X_1}
\]
None of the options provided exactly match this correct formula, but the closest interpretation involving the correct components is **C. Slope (delta Y) + (delta X)**.
Note that option C may not correctly represent the slope since in mathematics "+" is not a correct operation here. So, technically, none of the options is entirely correct. The proper formulation should be a fraction: \( \text{Slope} = \frac{\Delta Y}{\Delta X} \).