Math, asked by pramodamohanty7935, 8 months ago


Find the equations of the lines which pass through the point (-2.3) and are
equath inclined to the coordinate axes,​

Answers

Answered by Anonymous
12

SOLUTION :-

There are two lines possible passing through any point on coordinate plane which are equally inclined to the coordinate axes. 

The slopes of the lines are 1 and -1.

let the equation of the required line be y=mx+c \bf

→ for slope(m) = 1,

so the equation becomes y=x+c

as it passes through (-2,5)

⇒ 5 = -2 + c

⇒ c = 5+2 = 7

So one of the equation is 

y = x+7

  • for slope(m) = -1,
  • for slope(m) = -1,so the equation becomes y=-x+c

  • as it passes through (-2,5)

⇒ 5 = -(-2) + c

⇒ 5 = 2 + c

⇒ c = 5-2 = 3

  • So other equation is 

→y = -x+3

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