Question

-3x-6y=18 in slope intercept form then graph the equation

Answer 1

To rewrite the equation -3x - 6y = 18 in slope-intercept form, we need to solve for y.

Starting with the given equation: -3x - 6y = 18
Let's rearrange the equation by isolating y on one side.

-3x - 6y + 3x = 18 + 3x

-6y = 3x + 18

To solve for y, divide both sides of the equation by -6:

y = (3x + 18) / -6

Simplifying further:

y = (-1/2)x - 3

Now that the equation is in slope-intercept form (y = mx + b), we can graph it.

The slope, m, is -1/2, and the y-intercept, b, is -3.

To graph the equation, start by plotting the y-intercept, which is the point (0, -3). Then, use the slope to find additional points on the line. Since the slope is -1/2, this means for every 2 units to the right on the x-axis, we will go down 1 unit on the y-axis.

Plot a few more points to create the line:

- When x = 2, y = (-1/2)(2) - 3 = -4. Plot the point (2, -4).
- When x = -2, y = (-1/2)(-2) - 3 = -2. Plot the point (-2, -2).

Once you have a few points, connect them to draw the line.

Here's what the graph should look like:
graph of -3x-6y=18 ]