Explanation:
I guess, the equation is meant to be in slope-intercept form :
y = ax + b
"a" is the slope, "b" is the y intercept (the y value when x = 0).
in a situation like this, where we have the slope and one point of the line, we can start with the point-slope form
y - y1 = a(x - x1)
"a" is again the slope, and (x1, y1) is the given point.
and then we transform this over to the slope-intercept form.
so, in our case here
y - 2 = 5/6 × (x - 5) = 5x/6 - 25/6
let's simplify this by multiplying everything by 6 :
6y - 12 = 5x - 25
6y = 5x - 13
y = 5/6 x - 13/6
or
y = 1/6 × (5x - 13)