Can Slope and Tan(angle) be Equal?

  • Thread starter yaseen shah
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In summary, slope is a measure of the steepness of a line, calculated by dividing the change in the y-coordinate by the change in the x-coordinate. It is represented by the letter "m" in the slope-intercept form of a linear equation and can be positive, negative, or 0. The tangent of an angle is equal to the slope of the line that forms that angle with the x-axis, and the slope of a line can be calculated using two points with the formula (y2 - y1)/(x2 - x1).
  • #1
yaseen shah
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my question is that
slope=tan(angle)
slope can be 1,2,3,..,9,0
but tan(angle) can be 0,1 or b/w the intervals or infinity.
so how they can be equal.
 
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  • #2
Why can "slope" only be "1,2,3...9,0"? :confused:
 
  • #3
The slope of a straight line can be any real number.
 
  • #4
Who says that [itex]0 \le tan \enspace \alpha \le 1 [/tex] ?

That's only true for [itex]0^\circ \le \alpha \le 45 ^\circ [/tex]

Try these on your calculator (in degree mode):
TAN 85
TAN 100
 
  • #5
It seems that the OP is confused about many things. It's hard to even know where to start with this one. :eek:
 

What is slope?

Slope is a measure of the steepness of a line. It is calculated by dividing the change in the y-coordinate (vertical) by the change in the x-coordinate (horizontal) between two points on the line.

How is slope represented mathematically?

Slope is represented by the letter "m" in the slope-intercept form of a linear equation, y = mx + b. It can also be expressed as a fraction, rise over run, or as a decimal.

What does a positive or negative slope indicate?

A positive slope indicates that the line is increasing from left to right, while a negative slope indicates that the line is decreasing. A slope of 0 means that the line is horizontal.

What is the relationship between slope and the tangent of an angle?

The tangent of an angle is equal to the slope of the line that forms that angle with the x-axis. This means that the tangent of an angle can be used to calculate the slope of a line.

How is the slope of a line calculated using two points?

To calculate the slope of a line using two points, you can use the formula (y2 - y1)/(x2 - x1). This means finding the difference between the y-coordinates of the two points and dividing it by the difference between the x-coordinates.

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