What is the slope of a straight line and how is it determined from a graph?

Answer 1

the slope of the line is a number that indicates how "steep" it is. On a standard graph it is measured by the change in height divided by the change in length. If the line goes up to the right it has a positive slope, up to the left, we call a negative slope. You find the slope by dividing the change in height by the corresponding change in length. So, it a line goes up 3 units and over 2 units, the slope is 3/2. Often people say "rise over run" to remind themselves.

Answer 2

Reach is right. Pick any two points on the line and set them up as

y2-y1
---------=slope
x2-x1

Vertical line has no slope, horizontal line has a slope of 0.

Oh, Bill is right as well...if your graph has little squares then find a point and count up and over until you hit another point on the graph. It's best to pick "perfect" or definite points on there, so it's easier to tell than trying to guess what's between the lines.

Answer 3

The slope is:

y2-y1/x2-x1 = slope of a straight line. The x's and y's are your points. You need to pick two points on the line and then plug them in.

This works for all lines except vertical lines.

The slope of a vertical line does not exist. The slope is NOT infinity.

Answer 4

because you're saying "information factors", i assume you're touching on information that comes from a table, probably by using some form of test. frequently information like that may not lie precisely on a without postpone line. Nor will there be an rather-written function that passes by using all the information factors. So, once you're saying, "Is it available to be certain the slope of the line?", my instantaneous reaction is, "The slope of WHAT line?" there is not any longer a line right here -- it is area of the concept of your question. Now there are various approaches you could draw a line that passes by using the dissimilar factors, or comes close to a team of the standards. each of those lines could have its very own slope, of course. determining which line is the "suitable" demands you have some criterion for measuring how "reliable" any proposed line is at installation the information. there is greater desirable than one criterion accessible; the main frequently-used approach is noted as "least-squares regression". in case you have a graphing calculator, it rather is going to generate a least-squares regression line for you, and assist you to recognize its slope. in case you attempt to do this freehand, then you somewhat could merely take a straightedge and attempt to entice (by using eyeball) a line that is going by using the information in a manner that looks extremely -- it would come as close as available to maximum factors, and function greater or less as plenty "over-errors" as "below-errors". as quickly as the line is drawn, you could decide for any 2 factors that are on the line (they choose no longer be factors from the unique information set) and compute the slope as upward thrust/run.

Answer 5

Tatz simple my dear Chitchat:you do either DY upon DX....or simply the gradient.if itz positive this means a downward positive slope from left to right. if gradient is zero there is no slope,itz a straight horizontal line...also,always remember tat vertical lines have no gradient.it is undefined.ok?rily hope i`ve bin helpful yo u in some way or another

Answer 6

if a line makes an angle " a " with +ve direction of X axis measured in anticlockwise sense , its slope is defined as m= tan a
choose any arbitary points on the given line say- (x1 , y1) & (x2,y2) then slope= (y2-y1)/(x2-x1) i.e., dy/dx
thus dy/dx= (y2-y1)/(x2-x1)

Answer 7

If you could give an example