Gradient Formulas ~ Matematika Akuntansi -->

Tuesday, March 20, 2018

Gradient Formulas

a. Gradient formula from the points passed

The straight line through the points A(x1, y1) and B(x2, y2) has a gradient:

Example:
Please determine the gradient from a straight line through points A(2, 4) and B(3, 8)!

Answer:
x1 = 2
y1 = 4
x2 = 3
y2 = 8

So  the gradient from a straight line through points A(2, 4) and B(3, 8) is 4

b. Gradient Formulas from a Straight Line Equation

There are 4 formulas to determine the gradient of the straight-line equation are:

  • The equation of a straight line: ax + by = c, then the gradient is m = -a/b.
  • The equation of a straight line: y = ax + b. then the gradient is m = a.
  • Lines parallel to the x-axis have the equation y = c, then the gradient m = 0.
  • The line parallel to the y-axis has the equation x = c, then it has no gradient.

Example:
Find the gradient of 2x + y = 5 !

Answer:
a = 2
b = 1

m = -a/b
m = -2/1
m = -2

So the gradient of the equation 2x + y = 5 is -2.

Similarly this article.
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Referensi :
  • To'Ali's book math group accounting and sales

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