Slope is the change of your y variable divided by your change in the x variable.
So let's say you start at (3,0) and walk to (6,12)
Then your slope (generally called "m") is
m = (y2 - y1)/(x2 - x1) = (12 - 0)/(6 - 3) = 12/3 = 4
So your slope is 4. That means for every one you move right, you move four up.
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its useful in graphing! equations, inequalities, ect pretty much graphing!
how quickly or slowly the object is moving
The y-intercept, together with the slope of the line, can also be used in graphing linear equations. The slope and y-intercept of a line can be obtained easily by inspection if the equeation of the line is of the form y=mx+b where m is the slope and b is the y-intercept.
Nothing. Slope is a measure used in graphing and algebra. Feet and inches are units of linear measurement.
Rate can be the slope of a line when some variables are graphed. Ex: When graphing distance vs time for a moving object the slope of the line is the rate.