Intermediate Algebra

Question

Find an equation for the line parallel to 2 y + 14 x = 4 and goes through the point ( 1 , − 1 ) . Write your answer in the form y = m x + b .

Answer 1

Hi, Heather.

Okay,let's find the slope of the first line and then we know that it will have the same slope as the second line, because they are parallel.

 

2y + 14x = 4

2y = -14x + 4

y = -7x + 2

 

So the slope (m) of the first line is -7.  Now we know the slope for the 2nd line.

 

y = -7x + b

Now, substitute the point (1,-1) to solve for b

 

-1 = -7 + b

b = 6

Therefore, the equation you want is:

 

y = -7x + 6