Answer:
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. <em>y - (-4)= ( x- 5)</em>
<em> y + 4 = ( x - 5)</em>
<em> y + 4 = ( x - 5 )</em>
<em> ( y + 4) = ( x - 5)</em>
<em> 5 (y + 4 ) = - 7 (x - 5 )</em>
<em> 5 y + 20 = -7 x + 35</em>
<em> 7 x + 5 y = 15</em>
Hence the equation of the required line whose passes trough the points ( 5, -4) & ( -10, 17) is 7 x + 5 y = 15.