Question

What is an equation of the line that passes through the point (-4,-6) and is

parallel to the line 33 – y = 6?

Answer 1

I guess question is wrong :

What is an equation of the line that passes through the point (-4,-6) and is parallel to the line 33 x– y = 6?

3x - y = 6

`m = ( - a)/(b)`

`m = ( - 3)/( - 1)`

`m = 1`

Lines are parallel :

m1 = m2

`x - x1 = m(y - y1)`

`x + 4= 1(y + 6)`

`x + 4= y + 6`

`x - y= 6 - 4`

`x - y - 2 = 0`

Answer 2

Hey there!

33 - y = 6

33 - 1y = 6

-1y + 33 = 6

-y + 33 = 6

SUBTRACT 33 to BOTH SIDES

-y + 33 - 33 = 6 - 33

SIMPLIFY IT!
-y =6 - 33

-y = 6 - 33

-1y = -27

DIVIDE -1 to BOTH SIDES

-1y/-1 = -27/-1

SIMPLIFY IT!
y = -27/-1

y = 27

Therefore, your answer is: y = 27

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)