The slope of a line parallel to the line whose equation is 3x + 4y = 36 is equal to -3/4.
Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.
In Geometry, two (2) lines are considered to be parallel if their slopes are the same (equal) and they've different y-intercepts.
This ultimately implies that, two (2) lines are parallel under the following conditions:
m₁ = m₂
Note: m is the slope.
Simplifying the equation, we have:
3x + 4y = 36
4y = -3x + 36
Dividing both sides by 4, we have:
y = -3x/4 + 36/4
y = -3x/4 + 9.
Since m₁ = m₂, the slope of the line is equal to -3/4.
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