Step-by-step explanation:
Given points
( -3 , -7) and ( 5, 2)
Now slope (m)
= ( y2 - y1) / ( x2 - x1)
= ( 2 + 7) / ( 5+ 3)
= 9 / 8
Now the equation of line is
y - y1 = m ( x - x1)
y + 7 = 9/8 ( x + 3)
8 ( y + 7) = 9 ( x + 3)
8y + 56 = 9x + 27
9x - 8y +27 - 56= 0
9x - 8y -29 = 0
Which is the required equation
