Answer:
Unfortunately I can't read your answer options properly. The copied text is just too messed up. But hopefully the step-by-step calculation will help you.
Lemme know if it worked for you and if you have further questions.
Step-by-step explanation:
3x - 2y = -6
can be rewritten as
2y = 3x + 6
or simpler
y = 1.5x + 3
we know that it's parallel to this line, but we don't know how much lower or higher the new line will be, so let's set "+3" as an unknown variable.
y = 1.5x + b
(the letter b is now what we try to solve for)
now let's plug in the x-/y-Informations of the given point
2 = 1.5 * 4 + b
2 = 6 + b
-4 = b
so the new line is
y = 1.5x -4
(the given point lies on that line and it's parallel to the other line)
let's multiply everything by two to get closer to the original format
2y = 3x -8
it could also be expressed as
2y = -(-3x+8)
(in hope that this may help for choosing an answer option)
please clean up the text of questions before posting next time
(would really appreciate the brainliest)
