Answer in slope-intercept form:
y = (1/3)x - 4
Explanation:
The general form for a line in slope-intercept form is
y = mx + b
where:
“m” is the slope,
“b” is the y-intercept,
“x” and “y” are points on the graph.
A line parallel to x - 3y = 18 will have the same slope, or “m” in slope-intercept form.
Isolate “y” to find the slope:
x - 3y = 18
-3y = -x + 18
y = (1/3)x - 6
m = 1/3
Note that ordered pairs are written (x, y).
Substitute (-6, -6) and m = 1/3 into the general form.
y = mx + b
-6 = (1/3)(-6) + b
Simplify and isolate “b”.
-6 = -2 + b
b = -4
Write the equation of the line using “m” and “b”.
y = (1/3)x - 4
