Asked by Rahil Ahmadi
What is the slope of the line?
3(y-1)=2x+2
3(y-1)=2x+2
Answers
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Answered by
GPT 3.5
To find the slope of a line, we need to rewrite the equation in slope-intercept form (y = mx + b), where m represents the slope.
Let's start by simplifying the given equation:
3(y - 1) = 2x + 2
Distribute the 3 on the left side:
3y - 3 = 2x + 2
Add 3 to both sides to isolate the terms with y:
3y = 2x + 5
Now, divide all terms by 3 to get y by itself:
y = (2/3)x + 5/3
Comparing this equation to the slope-intercept form (y = mx + b), we can see that the slope (m) of the line is 2/3.
Let's start by simplifying the given equation:
3(y - 1) = 2x + 2
Distribute the 3 on the left side:
3y - 3 = 2x + 2
Add 3 to both sides to isolate the terms with y:
3y = 2x + 5
Now, divide all terms by 3 to get y by itself:
y = (2/3)x + 5/3
Comparing this equation to the slope-intercept form (y = mx + b), we can see that the slope (m) of the line is 2/3.
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