The equation of the line in the slope-intercept form is y = -1/3(x) + 2.
The slope of the line is -1/3 and the y-intercept is 2
From the question, we are to determine the slope and the intercept of the given equation.
The given equation is
x + 3y = 6
Rewrite the equation in the slope-intercept form of the equation of a line
Rewriting in slope-intercept form
x + 3y = 6
3y = -x + 6
y = -1/3(x) + 2
Compare with the general form of the slope-intercept form of a line
y = mx + b
where m is the slope
and b is the y-intercept
By comparing
m = -1/3
b = 2
Therefore,
Slope, m = -1/3
y-intercept, b = 2
Learn more on Slope-intercept form of a line here: brainly.com/question/1884491
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