**Regression Line of y on x**

The regression line of y on x represents the best linear approximation of the relationship between the dependent variable y and the independent variable x. It is used to predict the value of y for a given value of x.

The equation for the regression line of y on x can be written as:

y = mx + c

Where m is the slope of the line and c is the y-intercept.

**Given Equation**

The given equation 2x + 3y - 50 = 0 can be rearranged to represent y in terms of x:

3y = -2x + 50

Dividing both sides by 3, we get:

y = (-2/3)x + 50/3

Comparing this equation with the general equation of the regression line (y = mx + c), we can determine the values of m and c.

**Slope (bxy)**

The slope of the regression line, denoted as bxy, represents the change in the dependent variable y for a one-unit increase in the independent variable x.

From the equation y = (-2/3)x + 50/3, we can see that the coefficient of x is (-2/3). Therefore, the slope of the regression line (bxy) is -2/3.

**Intercept**

The y-intercept of the regression line, denoted as byx, represents the value of y when x is equal to zero.

From the equation y = (-2/3)x + 50/3, we can see that when x is equal to zero, y is equal to 50/3. Therefore, the y-intercept of the regression line (byx) is 50/3.

**Conclusion**

In conclusion, the value of byx, which represents the y-intercept of the regression line, is 50/3. The slope of the regression line (bxy) is -2/3.

2x + 3y + 50=0
byx =?