A straight line makes an angle of $ 135^{\circ} $ with the $ X $-axis and cuts $ Y $-axis at a distance $ -5 $ from the origin. The equation of the line is

Question

A straight line makes an angle of $ 135^{\circ} $ with the $ X $-axis and cuts $ Y $-axis at a distance $ -5 $ from the origin. The equation of the line is, $ 2 x+y+5=0 $, $ x+2 y+3=0 $, $ x+y+5=0 $, $ x+y+3=0 $

MARKS App · Accepted Answer

The equation of the straight line in slope intercept form will be y = m x + c . A straight line makes an angle of 135 ° with the X - axis and cuts Y - axis at a distance - 5 from the origin. The equation of the line is y = tan 135 ° x + - 5 y = - x - 5 ⇒ x + y + 5 = 0 .

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