Equation for this line in point-slope form

Question

Use the given conditions to write an equation for the line in​point-slope form and​ slope-intercept form. Passing through ​(5​,−6​) and perpendicular to the line whose equation is x−7y=5

Write an equation for this line in​ point-slope form.

Answer 1

y = -7x +b plug in (5,-6) to calculate b=y intercept

-6 = -7(5) +b = -35 +b

b = 35-6 = 29

y = -7x +29 is the perpendicular line's equation in slope intercept form

y+6 = (-7)(x-5) in point slope form