Write the general form of the equation of the line through t

Write the general form of the equation of the line through this pair of points. (-4, -8) and (-10, 7) The equation is = 0. (Simplify your answer.)

( -4 , -8 ) and ( -10 , 7 )

slope = y2 - y1 / x2 - x1

m = ( 7 + 8 ) / (-10 + 4 )

m = -15/ 6 = -5 / 2

applying point slope form

y - y1 = m ( x - x1 )

y + 8 = -5/2 ( x + 4 )

y + 8 = -5/2 x - 10

multiplying both sides by 2

2y + 16 = -5x - 20

therefore equation is

5x + 2y + 36 = 0