The equation of line with given points is  y - 4 = 3 ( x + 2 ) .
Step-by-step explanation:
Given as :
The points of line are ( 1 , 13 )   and    ( - 2 , 4 )
The point slope intercept equation of line is
y -  = m ( x -   )
Where m is the slope of line
So , Slope , m = 
Or, m =  
Or, m =  
∴    m = 3
Now The equation of line is
y -  = m ( x -   )
Or. y - 13 = 3 ( x -  1 )
Or, y - 13 = 3 x - 3
Or, y = 3 x - 3 + 13
∴   y = 3 x + 10
I.e y - 4 = 3 x + 6
Or, y - 4 = 3 ( x + 2 )
Hence The equation of line with given points is  y - 4 = 3 ( x + 2 ) . Answer