Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)?
A )y = –x – 2
B) 2x + 5y = −10
C) 2x − 5y = −10
D) y + 4 = –(x – 5)
E) y – 4 = (x + 5)
Hence in point intercept form (y= mx + b) m is your gradient (5/2)
To be perpendicular m1 x m2 = -1
Therefore the perpendicular gradient will be the negative reciprocal (-5/2) Sub into the point gradient formula: y- (-4) = -5/2 (x-5) once expanded and rearranged will become B: 2x + 5y = -10
