Question

3.) draw a picture of a l
negative slope
y-axis
x-axis

Explanation:

Step1: Recall Negative Slope Definition

A line with a negative slope decreases from left to right, meaning as \( x \) increases, \( y \) decreases. The slope formula is \( m = \frac{y_2 - y_1}{x_2 - x_1} \), and for a negative slope, \( m < 0 \).

Step2: Choose Two Points

Select two points such that the rise (change in \( y \)) is negative when the run (change in \( x \)) is positive. For example, use \( (0, 5) \) and \( (5, 0) \).

Step3: Plot and Draw the Line

Plot the points \( (0, 5) \) (on the \( y \)-axis) and \( (5, 0) \) (on the \( x \)-axis). Then draw a straight line connecting these two points. This line will have a slope of \( \frac{0 - 5}{5 - 0} = -1 \), which is negative, and it decreases from left to right.

Answer:

A line with a negative slope (e.g., connecting \( (0, 5) \) and \( (5, 0) \)) is drawn on the coordinate plane, decreasing from left to right.