Find the equation of the line parallel to y=-7x-5 through the point (-2,14)

Question

Find the equation of the line parallel to y=-7x-5 through the point (-2,14)

Answer 1

Or...

 

y - 14 = -7(x - (-2))

y - 14 = -7x - 14

y = -7x

 

What, no b? That would make the y-intercept 0, or the origin.

Answer 2

y=-7x-5

 

If a line is parallel, it has the same slope (m), but a different y intercept

 

y = mx + b

 

y = -7x + b

 

Substitute in the coordinates given

 

14 = (-7)(-2) + b

 

14 = 14 + b

 

b = 0

 

so,

 

y = -7x