Explanation:
We can rearrange the equation to slope-intercept form (y = mx + b) to graph it easily.
-15x = 36 - 12y
Add 12y to both sides:
-15x + 12y = 36
Add 15x to both sides:
12y = 15x + 36
Divide by 12:
y = (5/4)x + 3
Now we have the equation in slope-intercept form, where the slope is 5/4 and the y-intercept is 3.
To graph the line, we can start by plotting the y-intercept on the y-axis at (0, 3). Then we can use the slope to find another point.
Since the slope is 5/4, we can move up 5 units and over 4 units from our y-intercept point. This gives us the point (4, 8).
We can now draw a line through these two points to get the graph of the equation.
Here's a rough sketch of the line:
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Note that the line goes up and to the right, which matches the positive slope of 5/4.