Answer
y = (-x/6) + 4
Comparing with y = mx + c
Slope = (-1/6)
Intercept = 4
Step-by-step explanation
We are asked to put the given equation of a straight line in the slope-intercept form
The slope and y-intercept form of the equation of a straight line is given as
y = mx + c
where
y = y-coordinate of a point on the line.
m = slope of the line.
x = x-coordinate of the point on the line whose y-coordinate is y.
c = y-intercept of the line.
The expression is,
⅓(x) + 2y = 8
Divide through by 2
½ (x/3) + (2y/2) = (8/2)
(x/6) + y = 4
y = (-x/6) + 4
Hope this Helps!!!