slope (m ) = [tex]\frac{5}{2}[/tex] , y - 1 = [tex]\frac{5}{2}[/tex] ( 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 ) =[tex]\frac{30}{12}[/tex] = [tex]\frac{5}{2}[/tex]
equation in point- slope form using m = [tex]\frac{5}{2}[/tex] and (a,b )= (2 , 1)
y - 1 = [tex]\frac{5}{2}[/tex] ( x - 2)
