Use the given conditions to write an equation for the line i

Use the given conditions to write an equation for the line in point-slope form and general form. Passing through (7, -7) and perpendicular to the line whose equation is x - 6y - 5 = 0 The equation of the line in point-slope form is. (Type an equation. Use integers or fractions for any numbers in the equation.)

Solution

given line x-6y -5=0

6y=x-5

y=(1/6)x-(5/6)

slope of given line =1/6

let slope of required line be m

product of slopes of perpendicular lines =-1

m(1/6)=-1

m =-6

now equation of required line with slope -6 ,passing through (7,-7) is

y-(-7)=-6(x-7)

y+7=-6x+42

y=-6x+35

point slope form is y =-6x+35

general form is 6x+y -35=0