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 y = mx + b form, the y
is by itself on the left side of the equation.
So our first task in this problem is to get y 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 x term first on the right side of the equation and then the number because in y = mx + b form, the x term comes first on the right side of the equation.
Continuing on, to get y by itself we would
divide both sides by 3 to get y = 2/3x + 2.
Now in y = mx + b form, the slope is coefficient of the x term.
So we can see that the slope of this line is 2/3.