Find the equation of a line making an angle of 6 with the y

) Find the equation of a line making an angle of 6° with the y-axis and passing through the point (1, 1). (Note: There are two answers; find them both.

Solution

the line making an angle of 6° with the y-axis

that means it is making 90-6 =84° with x- axis

m = tan(84) or m = tan(180 -84)

so we know the point and slope

using slope point formula

y = mx+c where m=slope c= y-intercept

y = tan84 . x +c

y = 9.51 x + c is passing through (1,1)

1 = 9.51 +c

c = -8.51

y =9.51 x -8.51

another line equation is

y = -9.51 x +c

1 =-9.51 +c

c=10.51

y =-9.51x +10.51