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For the line x+y= 1, what is the angle made with the positive direction of the x axis?
- a)60°
- b)30°
- c)135°
- d)45°
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
For the line x+y= 1, what is the angle made with the positive directio...
We have in Equation = mx+c the slope of line as m and m=tanθ, θ is the angle made by (+ve) in X-axis
Hence, y = 1 - x
Here m = -1 = tanθ
θ = 135o
Hence, y = 1 - x
Here m = -1 = tanθ
θ = 135o
Most Upvoted Answer
For the line x+y= 1, what is the angle made with the positive directio...
At x equal to zero. y is 1. Therefore the coordinates are (0,1) and at x equal to 1 the y is zero. therefore the coordinates are (1,0). So slope is -1 therefore theta equal to 135 degree
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Community Answer
For the line x+y= 1, what is the angle made with the positive directio...
The general equation of a line in slope- intercept form is y=mx+c where m is the slope of line which is nothing but tan of the angle made by line with positive direction of X axis in ANTICLOCKWISE direction. Now the given line x+y=1 can be written as y=-x+1 so here m is equal to -1. The range of value of the angle is from 0 to π. Since tan is negative in the second quadrant so here the angle is 135 degrees.
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