In regards to roofs.
"Pitch" is a ratio of the total rise of a roof over the total span of a building.
"Slope" is a ratio of the total rise of a roof over "half" the total span of a building.
A building 40 feet wide with a total roof rise of 10 feet (from the top of the supporting walls) has a pitch of 10/40 reduced to 1:4
A building of the same dimensions will have a slope of 1:2 or 6/12 on the imperial framing square.
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The slope is the value of m in which you "rise and run" point units The Y-intercept is the value in which X is zero
Points: (6, -3) and (8, 0) Slope: 3/2
The rise is the difference between the ordinates (vertical values) of two points on a line whereas the run is the difference between their abscissae (horizontal values) of the same two points.
Undefined slope is when a line is exactly on the y-axis, for reasons unknown, the slope of a line on the y-axis cannot be determined, so therefore it it "undefined." A line with no slope is a line with a slope of zero. In order for a line to have a slope of zero, it must be directly on the x-axis, meaning it is horizontal. Horizontal lines are straight and have no slope
Simply divide the difference in the y-coordinates, by the difference in the x-coordinates.