find the y-intercept of the line $y = \\frac{4}{3}x + \\frac{2}{3}$. write your answer as an integer or as a…

find the y-intercept of the line $y = \\frac{4}{3}x + \\frac{2}{3}$. write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

find the y-intercept of the line $y = \\frac{4}{3}x + \\frac{2}{3}$. write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

Answer

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a line is given by (y = mx + b), where (m) is the slope of the line and (b) is the (y) - intercept.

Step2: Identify (b) from the given equation

In the given equation (y=\frac{4}{3}x+\frac{2}{3}), comparing it with (y = mx + b), we can see that (m=\frac{4}{3}) and (b = \frac{2}{3}). Since (b) is the (y) - intercept, the (y) - intercept of the line is (\frac{2}{3}).

Answer:

(\frac{2}{3})