The equation given is $y = -6x$. This is a linear equation in slope-intercept form, $y = mx + b$, where:

• $m$ is the slope (in this case, $-6$).
• $b$ is the y-intercept (in this case, $b = 0$, since there is no constant term, meaning the line passes through the origin).

Steps to graph:

1. Y-Intercept: The y-intercept is 0, so the graph passes through the origin, point $(0, 0)$.
2. Slope: The slope is -6, which means for every 1 unit you move to the right (positive x-direction), the line goes down by 6 units (negative y-direction).

Plot the line:

• Start at the point $(0, 0)$.
• From there, move 1 unit to the right (to $x = 1$) and 6 units down (to $y = -6$).
• Plot the point $(1, -6)$.
• Draw a straight line through these points.

Would you like more details or have any questions about this?

Here are 5 related questions for further practice:

1. What is the slope of the line if the equation is $y = 2x + 3$?
2. How do you find the slope of a line between two points, such as $(1, 2)$ and $(4, -1)$?
3. What happens to the graph if the slope is positive instead of negative?
4. Can you rewrite the equation $y = -6x$ in standard form?
5. How would the graph change if the equation was $y = -6x + 5$?

Tip: The slope determines the steepness and direction of the line: positive slopes go upwards, and negative slopes go downwards!