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6x - 36y = 36 (divide each term of both sides by 6)
x - 6y = 6 (subtract x from both sides)
- 6y = -x + 6 (divide each term of both sides by -6)
y = (1/6)x - 1 this is the slope intercept form of the equation of a line, where -1 is the y-intercept.
To find the x-intercept, substitute 0 for y into the last equation. So we have
y = (1/6)x - 1
0 = (1/6)x - 1 (add 1 to both sides)
1 = (1/6)x (multiply both sides by 6)
6 = x
Thus, the y-intercept is -1, and the x-intercept is 6.
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