SOLUTION: Find the equation of the straight line with positive gradient and inclined at an angle of 45 degree to the line 3y-x+1=0 and passing through the point (2,0)
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Question 1048652: Find the equation of the straight line with positive gradient and inclined at an angle of 45 degree to the line 3y-x+1=0 and passing through the point (2,0)
The angle that the line makes with the axis is because the slope is . A line with a positive slope that is inclined at a 45 degree angle to the given line must have a slope . Using the point-slope form and the given point (2,0):
where are the coordinates of the given point and is the calculated slope, we get:
John
My calculator said it, I believe it, that settles it