Find the equation of the line with slope =-8/11 passing through the point (33, -23). Write your answer in the form y=my+b

Question

Find the equation of the line with slope =-8/11 passing through the point (33, -23). Write your answer in the form y=my+b

Answer 1

y = M x + b

 

(33, -23) means x=33 and y=-23 with M = -8/11

 

-23 = (-8/11)(33) + b

 

-23 = -24 + b <----  11 cancels 33 by a factor of 3, which multiples by -8 to give -24

 

-23 + 24  = -24 + b + 24 <--- adds 24 to both sides

1 = b

 

The equation is:

 

 y = (-8/11)X + 1

 

 

Answer 2

You really meant to say

 

y = mx + b,

 

not

 

y = my + b,

 

right?

 

Start with 

 

y = mx + b = (-8/11)x + b

 

Next, use the coordinates of the given point (33,-23) to find b.

 

-23 = (-8/11)(33) + b

 

-23 = -24 + b

 

b = -23 + 24 = 1

 

y = (-8/11)x + 1