Question

Slopes of parallel and perpendicular lines: Problem type 2

Answer 1

Consider the line y\[y=\frac{ 6 }{ 7 }x-6\] .

(a) Find the equation of the line that is parallel to this line and passes through the point(6,-6)


(b) Find the equation of the line that is perpendicular to this line and passes through the point (6,-6) .

Answer 2

a.) parallel line means same slope so m=6/7
plug this and the point given to point-slope form
y-(-6)=6/7(x-6)
y+6=6/7x-36/7
y=6/7x-78/7
b.) slope is the negative inverse so m=-7/6
y+6=-7/6(x-6)
y+6=-7/6x+7
y=-7/6x+1

Answer 3

thank you :)