what is the standard form of the line that passes through the point (1, -3) and is parallel to the line y = 2x+1

Question

math question - algebra

Answer 1

Equation of new line is parallel to the first line y = 2x + 1.

 

Therefore, it will have the same slope (m = 2).

 

This line must pass thru the point (1,-3).

 

Equation of a line:  y = mx + b

 

Solving for b for the new line using m = 2 and (1,-3):

 

     (-3) = 2(1) + b

      -3 = 2 + b

       b = -5

 

Equation of new line is y = 2x - 5

 

Rearrange to standard form (Ax + By = C)

 

     -2x + y = -5