The equation you provided is $y = -2x - 3$, which is a linear equation in slope-intercept form:

$y = mx + b$

where:

• $m = -2$ is the slope of the line.
• $b = -3$ is the y-intercept, the point where the line crosses the y-axis.

Key Characteristics:

1. Slope ($m$): The slope of $-2$ indicates that for every unit increase in $x$, the value of $y$ decreases by 2 units. The line slopes downward from left to right.
2. Y-intercept ($b$): The line crosses the y-axis at $(0, -3)$.

Plotting the Line:

• Point 1: Start at the y-intercept $(0, -3)$.
• Point 2: Use the slope to find another point. From $(0, -3)$, move 1 unit to the right (increase $x$ by 1) and 2 units down (decrease $y$ by 2) to reach the point $(1, -5)$.
• Draw the line through these two points.

Would you like to see a graph of this line or need further explanation?

Related Questions:

1. How do you find the x-intercept of the line?
2. What is the significance of the slope in real-world scenarios?
3. How do parallel and perpendicular lines relate to this line?
4. How would the equation change if the slope were positive?
5. How can this linear equation be rewritten in standard form?

Tip:

When identifying the slope from the equation, remember that a negative slope always indicates a line that decreases as you move from left to right.