Write the standard form of teh equation of the line through

Write the standard form of teh equation of the line through the pair of points (6,1) and (-4,9). Write the equation using only integer coeffiecients.

Solution

Equation of line is given by:
(x-x1)/(y-y1) = (x2-x1)/(y2-y1)
(x-6)/(y-1) = (-4-6)/(9-1)
(x-6)/(y-1) = (-10)/8
(x-6)/(y-1) = (-5)/4
4x-24 = -5y+5
4x + 5y =19
This is equation of line