Question

question 6

1. slope = △y/△x means?

slope= triangle y ÷triangle x
steepness of a line is triangle y ÷ triangle x
slope is the change in y ÷ the change in x
2

Explanation:

The formula \( slope=\frac{\Delta y}{\Delta x} \) is a fundamental concept in algebra. Here, \( \Delta y \) represents the change in the \( y - \)coordinate (vertical change), and \( \Delta x \) represents the change in the \( x - \)coordinate (horizontal change). The first option is too literal in interpreting \( \Delta \) as "triangle" instead of "change". The second option is incorrect because it mis - defines the slope as just the steepness formula without the proper variable interpretation. The fourth option is just a value (which might be a slope value in a specific case but not a general definition). The third option correctly interprets \( \Delta y \) as the change in \( y \) and \( \Delta x \) as the change in \( x \).

Answer:

Slope is the Change in y ÷ the Change in x