Answer: 2/3
Step-by-step explanation: To identify the slope of this line, we first need to convert this equation to slope-intercept form.
In slope-intercept or <em>y = mx + b</em> form, the <em>y</em>
is by itself on the left side of the equation.
So our first task in this problem is to get <em>y</em> by itself
on the left side of the equation and we do that by
first adding 2x to both sides to get 3y = 2x + 6.
Notice that I put the <em>x</em> term first on the right side of the equation and then the number because in <em>y = mx + b</em> form, the <em>x</em> term comes first on the right side of the equation.
Continuing on, to get <em>y</em> by itself we would
divide both sides by 3 to get <em>y = 2/3x + 2</em>.
Now in y = mx + b form, the slope is coefficient of the <em>x</em> term.
So we can see that the slope of this line is 2/3.
