What is the slope of the line?

Question

3(y-1)=2x+2

Answer 1

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.