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1 month ago
2y + 5x= 9
y= (-5/2)x + (9/2)
10y= 4x + 45
y= (4/10)x + (45/10)
y= (2/5)x + (9/2)
Then determine the gradient of each.
With respect to y= mx + c,
m1= (-5/2) and m2= (2/5)
Recall, the form of perpendicularity is represented as follows:
m1m2= -1
Thus, the already gotten gradients can be proved below.
(-5/2)(2/5)= (-5 × 2)/(2 × 5)= (-10)/(10)= -1
Therefore, the two equations are perpendicular to each other.