The y - intercept of the line is -21 .
Slope - inercept form of equation of line :
y = m x + c
where m is the slope and c is the y - intercept of the line .
Writing equation in slope - intercept form :
( - 5 - 3 ) / ( - 4 + 6 ) = ( y - 3 ) /( x + 6 )
( -8 ) / ( 2 ) = ( y - 3 ) /( x + 6 )
- 4 ( x + 6 ) = y - 3
- 4 x - 24 = y - 3
y = - 4 x - 21
Hence , the y - intercept of the line is -21 .
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