Write the equation of the line in​ slope-intercept form given the slope and the coordinates of the​ y-intercept.

m=1/3;(0,7/9)

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

Given that the slope (m) is 1/3, and the y-intercept is (0, 7/9), we can substitute these values into the slope-intercept form equation:

y = (1/3)x + b

To find the value of b, we substitute the coordinates of the y-intercept (0, 7/9) into the equation:

7/9 = (1/3)(0) + b

Simplifying the equation:

7/9 = 0 + b
7/9 = b

So, the equation of the line in slope-intercept form is:

y = (1/3)x + 7/9