Question

What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line whose equation is 4 x + y - 2 = 0?
A) 4 x - y = 13
B) 4 x + y = 13
C) 4 x + y = -13

Answer 1

   
The equation is:   4x + y + a = 0

Point (4, -3)  ⇒  x = 4  and  y = - 3

⇒ 4 · 4 - 3 + a = 0

16 - 3 +a = 0

13 + a = 0

a = -13

Ansver:   equation is:   4x + y - 13 = 0     OR     4x + y = 13

Answer 2

Answer:

4x + y + a = 0

Point (4, -3)  ⇒  x = 4  and  y = - 3

⇒ 4 · 4 - 3 + a = 0

16 - 3 +a = 0

13 + a = 0

a = -13

Ansver:  4x + y - 13 = 0     OR     4x + y = 13

Step-by-step explanation: