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)

Algebra ->  Points-lines-and-rays -> 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)       Log On


   



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)

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


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