Question

What is the equation of a line that passes through the point (9, −3) and is parallel to the line whose equation is 2x−3y=6 ?

Answer 1

@Vocaloid

Answer 2

first find the slope of 2x−3y=6 by re-writing in y = mx + b form

Answer 3

m=2/3?

Answer 4

well done

now, we use that slope to find the equation of a line w/ slope (2/3) and passes through (9,-3)

so we can plug these into y = mx + b to find b

y = mx + b
-3 = (2/3)(9) + b

solve for b.

Answer 5

How do I do that again?

Answer 6

first, let's simplify (2/3)(9) to get 6

now we have

-3 = 6 + b

then subtract 6 from both sides to get

b = -9

Answer 7

then putting everything together we get y = (2/3)x - 9 = your answer

Answer 8

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Answer 9

Hello?