Question

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 - 5y-2 = 0

The equation of the line in point-slope form is...

Answer 1

y=-5x+28 general form

slope point :y-(-7)=-5(x-7)

Explanation:

definition :perpendicular slopes are negative reciprocals of each other

x-5y-2=0

y=1/5 x-2/5

slope of the perpendicular line =1/m=-1/(1/5)=-5

slope point :y-(-7)=-5(x-7)

find b :

y=-5x+b

-7=-5(7)+b

b=-7+35=28

y=-5x+28

y=1/5 x-2/5