Final answer:
To graph the equation 3y + 18x = 0, rewrite it in the slope-intercept form, y = mx + b. The slope (m) is -6 and the y-intercept (b) is 0. Plot the y-intercept at (0, 0) and use the slope to find additional points.
Step-by-step explanation:
To graph the equation 3y + 18x = 0 using the slope and y-intercept, we need to rewrite the equation in the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
Starting with the given equation, we isolate y by subtracting 18x from both sides:
3y = -18x
y = -6x
Now we can see that the slope (m) is -6 and the y-intercept (b) is 0. To graph the line, we plot the y-intercept at the point (0, 0) and then use the slope to find additional points. For example, if we move one unit to the right and six units down from the y-intercept (0, 0), we have the point (1, -6). We can continue this pattern to plot more points and then connect them with a straight line.
Learn more about Graphing linear equations