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Why is m the letter we use for slope. - Office Equipment & Supplies

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M, the slope of a straight line is also called the rate of change of the function. Its definition is m=(y2-y1)/(x2-x1) where (x1,y1) are the coordinates of one point on the line, and (x2,y2) are the coordinates of a second point on the lines.

Posted on Feb 08, 2012

  • k24674 Feb 09, 2012

    Apparently you are interested in knowing WHY is the letter m used for slope. Not always. In some books in is called a. It does not really matter why and you can call it anything you want, as long as you state it clearly before using it. it is possible that the first person to introduce the concept used the first letter of the word that represents the idea in his language, and the letter might have been m. It is possible that that it was an arbitrary decision, and that thre is no profound reason to do so.
    Why is an unknown represented by x, the time by t, or the temperature by t or T? some names have a reason behind them, others may not have.

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The slope of a line through 5 -5 and 5 0


It's a vertical line so the slope is infinite.

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A line with a slope of - 1 7 passes through the points u, - 1 and 5, - 3. What is the value of u?


Slope is usually designed by the letter m. m=delta y/delta x or change in y/change in x or (y2-y1)/(x2-x1).
What we know.
m = -17 (very very steep, with a negative slope, going up to the left)
Point (5, -3)
Point (u,-1)

Putting everything into the above equation, we get
m = (-3-(-1))/(5 - u) , where m =-17
-17 = (-3 + 1)/(5 - u)
-17 = (-2)/(5-u)
To get rid of the fraction, multiply both sides by (5 - u)
-17(5-u) = -2
-85 + 17u = -2
Add 85 to both sides to get rid of the -85.

-85 + 85 +17u = -2 + 85

17u = 83
Divide both side to get u by itself.

17u/(17) = 83 / 17

u = 4.89 (rounded to 2 decimals)

Good luck,

Paul

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1 Answer

Slope and y intercept


Points don't have slopes.
The slope of the line going through those two points is 2/3.

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How do you find the slope of an equation?


If your equation can be written in the form of a function (y=f(x)),
the slope of the function at a point is the derivative of the function at the point. For any function that is not a constant or linear, you need calculus to find the slope.
If the function is of the form y= ax +b, the slope is the value a.

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1 Answer

Slope and y intercept


Slope is 1 and y-intercept is 4. y = mx + b. Add y to both sides to get x + 4 = y . m then = slope (1) x = x

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1 Answer

Can i ask how to answer this?2x-4y-9=o


That is an equation describing a straight line. The "slope-intercept" form of a line is

y = mx + b

where m is the slope (change in y-value / change in x-value)
and b is the y-intercept (the point where the line crosses the y-axis when x=0)

Positive slope means the line is rising and negative slope means it's falling.

You can rewrite the original equation 2x - 4y -9 = 0 in slope-intercept form:

y = (1/2)x - (9/4)

So you know the slope is positive 1/2 (line rises 1 y-unit for each 2 x-unit change) and crosses the y-axis at -9/4. With this information you can graph the line.

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THE POINTS L(4,0),M(10,0),AND N(7,5) FROM LMN.WHAT IS THE SUM OF THE SLOPES OF THREE SIDES OF THE TRIANGLE


slope of side lm by applying slope =(y2-y1)/(x2-x1)


slope of lm=0

slope of mn=5/-3 = -5/3


slope of ln= 5/3


so sum of slopes =0

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Why is the y-intercept of the graph of 4x+2y=12?


use the slope-intercept form to graph y=2/3x+4

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I want to hang the fan on a cathedral ceiling with a steep slope. Two questions, is the angle of the slope measured from vertical or horizontal,and does anyone make a kit for my fan to hang because the the...


The slope is measured off the horizontal plane. A 45 degree slope would rise 12 inches for every 12 inches of horizontal travel in this example. If the slope is too great try checking kits made by Fanimation. The Fanimation SCK52 - 52 Degree Ceiling Slope Ceiling Fan Kit will go up to a 52 degree angle ceiling and will fit most downrods. The hampton bay fans are very popular and should work just fine with this kit.

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