Find the equation for two lines that both go through the point (1,2), one with slope 3 and one with slope -1/3. ( write the numerical coefficient of each term to complete the required equation )

Question

Help me please. Thank you

Answer 1

The two lines are y=3x+a and y=-x/3+b, where a and b have to be found.

Plug in the point (1,2):

2=3+a so a=-1 and 2=-1/3+b, so b=7/3.

The equations are y=3x-1 and 3y=7-x (another way of writing y=-x/3+7/3). The lines are perpendicular to one another.