To find the slope of a line in standard form (Ax + By = C), we can rearrange the equation to slope-intercept form (y = mx + b), where m is the slope. Let's do that with the given equation:
10x + 15y = -90
Start by subtracting 10x from both sides:
15y = -10x - 90
Next, divide both sides by 15 to isolate y:
y = (-10/15)x - 90/15
Simplify the fractions:
y = (-2/3)x - 6
Now we can see that the equation is in slope-intercept form, y = mx + b, where m is the slope. Therefore, the slope of the line is -2/3.
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