We are given the slope and the y-intercept.
m=-6/7, b=3 1/7
We use the slope-intercept form of the equation of the line to get an equation.
y = mx + b
y = -6/7x + 3 1/7
Now we need standard form.
The x- and y-terms must be on the left side, and we need integer coefficients.
y = -6/7x + 22/7
Multiply both sides by 7.
7y = -6x + 22
Add 5x to both sides.
6x + 7y = 22