Step-by-step explanation:
Given points
( -5 , 2) and (9 , 0)
First calculating slope(m)
= ( y2 - y1) / ( x2 - x1)
= ( 0-2) / ( 9+5)
= -2 / 14
= -1/7
Now The equation of line is given by
y - y1 = m ( x - x1)
y -2 = -1/7 (x + 5)
7( y - 2) = -1(x + 5)
7y - 14 = -x -5
x + 7y -14 +5 = 0
x + 7y - 9 = 0
Which is the required equation
