Question
What is the slope, m of the line for the graph represented by this equation: 3x+2y=12?
Answers
Answered by
GPT 3.5
To find the slope of a line, we need to rewrite the equation in slope-intercept form, which is y = mx + b, where m represents the slope.
To rewrite the equation 3x + 2y = 12 in slope-intercept form, we need to isolate y.
Let's start by subtracting 3x from both sides:
2y = -3x + 12
Next, divide everything by 2:
y = (-3/2)x + 6
Now we can see that the equation is in the form y = mx + b, where m = -3/2.
Therefore, the slope of the line represented by the equation 3x + 2y = 12 is -3/2.
To rewrite the equation 3x + 2y = 12 in slope-intercept form, we need to isolate y.
Let's start by subtracting 3x from both sides:
2y = -3x + 12
Next, divide everything by 2:
y = (-3/2)x + 6
Now we can see that the equation is in the form y = mx + b, where m = -3/2.
Therefore, the slope of the line represented by the equation 3x + 2y = 12 is -3/2.
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