Ineed the equation of a line in slope-intercept form. can anyone explain it?

Hello there! An equation in slope-intercept form is y = mx + b, where “m” is the slope and “b” is the y-intercept. y and x are the variable that remain without a number. In this case, the equation of this would be y = 5/6x + 8.

Slope = 5/6 
y-intercept = 8

y = mx + b     
y = 5/6x + 8     substitute the given values for m and b

hope this helped, God bless!