Find the equation of the line which intercepts a length 2 on the positive direction of x-axis and is inclined at 135 with the positive direction of y axis.

Asked by PRERNA | 23rd Jan, 2014, 08:36: PM

Expert Answer:

Since the required line makes an angle 135 degrees with the positive direction of y-axis, it makes 45 degrees with the positive direction of x-axis.
 
Slope =
 
Also the required makes an intercept of 2 units on the positive direction of x-axis.
 
Thus, the required line passes through the point (2, 0)
 
Equation of the line with slope 'm' and passing through the point (x1, y1) is
 
y - y1 =m(x - x1)
 
That is, the equation of the line with slope 1 and passing through the point (2, 0) is
 
y - 0 = 1 (x - 2)
 
That is the required equation is y = x - 2
 

Answered by Vimala Ramamurthy | 24th Jan, 2014, 09:28: AM

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