Write the equation of m=6/7 through (0,3) in standard form

Slope-intercept form of the equation

y = mx + b
m = slope = 6/7

y = 6/7 x + b

To find b, use point (0,3), where x = 0
and y = 3. Solve for b.
y = 6/7 x + b
3 = 6/7(0) + b
3 = 0 + b
b = 3

So, the equation is
y = 6/7 x + 3