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Explanation
When taking derivatives of polynomials, we primarily make use of the power rule.
Power rule.
also, the derivate of a sum is the sum of the derivates
hence
Step 1
apply:
therefore, the answer is
slope (m ) = , y - 1 =
( x - 2)
The equation of a line in ' point- slope form 'is
y - b = m (x - a)( m is the slope and (a , b ) a point on the line )
To calculate m use the ' gradient formula'
m = (y₂ - y₁ )/(x₂ - x₁ )
let (x₁, y₁ ) = (2 , 1) and (x₂, y₂ ) = (14 , 31) ← values chosen from table
m = (31 - 1 )/(14 - 2 ) = =
equation in point- slope form using m = and (a,b )= (2 , 1)
y - 1 = ( x - 2)