What is the equation for a line that passes through the points (5,-4) and (-10,17

The equation of the line is 7 x +5 y = 15.

Step-by-step explanation:

Here the given points are ( 5, -4) & ( -10, 17) -

Equation of a line whose points are given such that

( ) & (  )-

 y -   =  ( x -  )

i.e.  y - (-4)=  ( x- 5)

     y + 4 = ( x - 5)

     y + 4 =  ( x - 5 )

     ( y + 4)  =   ( x - 5)

     5 (y + 4 ) = - 7 (x - 5 )

     5 y + 20 = -7 x + 35

     7 x + 5 y = 15

Hence the equation of the required line whose passes trough the points ( 5, -4) & ( -10, 17)  is 7 x + 5 y = 15.

fdvs

step-by-step explanation: vsfdvsfvd