What is the slope of the line represented by the equation y = –y equals negative StartFraction 2 Over 3 EndFraction minus 5 x. – 5x?



It seems the equation you provided might be misformatted. Based on what I interpret, you are trying to represent a linear equation, possibly something like:

\[ y = -\frac{2}{3}x - 5 \]

If this is correct, the general form of a linear equation is:

\[ y = mx + b \]

where:
- \( m \) is the slope,
- \( b \) is the y-intercept.

In the equation \( y = -\frac{2}{3}x - 5 \), the coefficient of \( x \) is the slope. Therefore, the slope \( m \) is:

\[ m = -\frac{2}{3} \]

So, the slope of the line is \( -\frac{2}{3} \).

Would you like further clarification on this? Here are five related questions to consider:

1. How do we calculate the slope from different forms of linear equations?
2. What does the slope represent geometrically on a graph?
3. How does the slope affect the steepness of a line?
4. What is the difference between positive and negative slopes?
5. How can we derive the slope from two points on a line?

**Tip:** The slope indicates how much the \( y \)-value changes for a unit change in the \( x \)-value. A negative slope means the line decreases as \( x \) increases.

What is the slope of the line represented by the equation y = –y equals negative StartFraction 2 Over 3 EndFraction minus 5 x. – 5x?

Learn how to find the slope of the line represented by the equation y = -(2/3)x - 5. This tutorial covers the slope-intercept form of linear equations, explaining how to extract the slope and understand its meaning. Suitable for Grades 7-10 students studying algebra.

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