Write the equation of a line parallel to the given line and passing through the given point.

Question

y = -⅔ x + 2; (9, -3)

Answer 1

In point-slope form,

 

y - y₁ = m(x - x₁)

 

m = -2/3

x₁ = 9

y₁ = -3

 

Just plug in the numbers, get the equation, and then you can easily convert it to standard form or slope-intercept form, if you wish.