Answer:
B
Step-by-step explanation:
The slope of a linear function is the coefficient of x. In the case of the parent function f(x) = x, the slope is 1, and the slope of the new function is given as 2/3. 2/3 is smaller than 1, therefore, the new function is less steep.
The y-intercept of a linear function is the constant added. For f(x) = x, the y-intercept is 0, and for the new line it is 2. Therefore, the y-intercept has been translated up.
For the two lines to be parallel the slope must be the same. As the slopes are different, they are not parallel.
