Answer:
5x - 2y = -10 (B.) This should be right so if its not let me know I am stumped on what else it would be
Step-by-step explanation:
Parallelism: Same slope but different y-intercept
1 - Get into slope formula
5x - 2y = 7
- 5x -5x
-2y = -5x + 7
-2y/-2 = -5x/-2 +7/-2
y = (5/2)x - 7/2
2 - Plug x and y from (0, 5) into y = mx + b however note the - 7/2 is extranneous and wont be used for b
y = (5/2)x + b
5 = (5/2)0 + b
5 = 0 + b
5 = b
Therefore
y = 5/2x + 5 is your slope formula.
Now to get x to the other side.
3 - Get it back to standard form.
y = 5/2x + 5
- 5/2x -5/2x
- 5/2x + y = 5
(Multiply 2 into everything to get rid of the fraction)
-5x + 2y = 10