how do i make a slope and explain it

Question

anonymous · Answer

basically we can easily explain it using an inclined line... 
if we draw a line in a 2-dimensional coordinate axes (say X-Y axes), all points in a line will have unique coordinates of x and y...

anonymous · Answer

|dw:1383360536872:dw|

anonymous · Answer

the points illustrated in the drawing are P1 with coordinates x1 and y1, P2 with x2 and y2, and so on...

anonymous · Answer

the slope m or should we say "inclination direction" of a line is constant in a line at any point P....

anonymous · Answer

the formula for the slope needs 2 points in a line for you to compute, if we consider points P1 and P2,....
$$m = \frac{ (y2 - y1) }{ (x2 - x1) }$$

anonymous · Answer

note also the difference in coordinates...
for Y-axis, we have y2 - y1, or y3 - y2, or y4 - y3.... we call this as the "rise"
for X-axis, we have x2 - x1, ox x3 - x2, or x4 - x3.... we call this as the "run"
this is also another term for the formula of slope,
$$m = \frac{ rise }{ run }$$

anonymous · Answer

... hope this explains SLOPE...

anonymous · Answer

... for other curves, we need to apply differential calculus...
the first derivative of the function is the equation or the formula that you will use to solve for the slope of the point in the curve, that is, the slope is not the same all thru' out the curve. The slope varies from point to point but the equation or formula that you will use is only one for the function or the curve....