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Calculate the steepness of the line passing through the points (4, 24) and (10, 12).

Sagot :

In math, the term to express steepness is known as slope. if we know 2 coordinates of a line, all we have to do to find the steepness or slope is to plug it into the slope formula:

y2-y1/x2-x1

24-12/4-10

12/-6

=-2

Therefore the steepness or slope is -2.
m = y₂ - y₁ = 12 - 24 = -12 = -2
       x₂ - x₁     10 - 4        6

y - y₁ = m(x - x₁)
y - 24 = -2(x - 4)
y - 24 = -2x + 8
  + 24         + 24
       y = -2x + 32