Parallel to 2x+y-2=0passing through (5,-3)

Question

Write the equation for the line that meets the standards of the question. 

Answer 1

2x+y-2=0

 

y = -2x + 2

 

y = -2x + 7, because it has the same slope (-2), but a different y intercept, one that will make the equation true for (5, -3)

 

-3 = -2(5) + 7

 

-3 = -10 + 7

 

-3 = -3

Answer 2

2x + y - 2 = 0

y = -2x + 2

 

Parallel lines have the same slope. We use our given point to find the new b.

 

-3 = -2(5) + b

-3 = -10 + b

b = 7

 

y = -2x + 7