The slope-intercept form of a linear equation is: y = color(red)(m)x + color(blue)(b)
Where color(red)(m) is the slope and color(blue)(b) is the y-intercept value.
Therefore, first, add color(red)(54x) to each side of the equation to isolate the y term on the left side of the equation while keeping the equation balanced:
9y - 54x + color(red)(54x) = color(red)(54x) + 18
9y - 0 = 54x + 18
9y = 54x + 18
Now, divide each side of the equation by color(red)(9) to solve for y while keeping the equation balanced:
(9y)/color(red)(9) = (54x + 18)/color(red)(9)
(color(red)(cancel(color(black)(9)))y)/cancel(color(red)(9)) = (54x)/color(red)(9) + 18/color(red)(9)
y = color(red)(6)x + color(blue)(2)
