Find the equation of a line passing through the point 3 4 an

Find the equation of a line passing through the point (3, 4) and making an angle of 11° with the x-axis. (Note: There are two answers; find them both. Round values to three decimal places as needed.)

Solution

Slope is rise/run, or in Sin(theta) / Cos(theta) terms, opposite / adjacent so that\'s tangent; the slope of your first line is either tan 15º or tan (180 - 15) = tan 165º.

y = mx+ c

where m =slope

y = tan15 x + c is passing through (-3,4)

4 = tan15 . -3 +c

4 = 0.27*-3 +c

c = 4+0.81

c=4.81

y = 0.27x + 4.81

second line is

y = tan(165) x +c

4 = -0.27 *-3 +c

c = 4 - 0.81

c= 3.19

so line is y =-.27x +3.19