Show that lines 2y+5x=9 and 10y=4x+45 are perpendicular to each other?

Show that lines 2y+5x=9 and 10y=4x+45 are perpendicular to each other?

To get notifications when anyone posts a new answer to this question,
Follow New Answers

Post an Answer

Please don't post or ask to join a "Group" or "Whatsapp Group" as a comment. It will be deleted. To join or start a group, please click here

Answers (2)

ROBERT
1 month ago
Make y the subject of the formula for each equation.
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.
PRINCESS
1 month ago
M1=-5/2 GRADIENT OF 2Y+5X=9 M2=2/5 GRADIENT OF 10Y=4X+45 FOR THE LINE TO BE PERPENDICULAR M1M2= -1 WHICH IS -5/2*2/5=-1
Ask Your Own Question

Quick Questions

See More Mathematics Questions