3y+x=5, x-3y=12, y=3x-2, 6y-2x=7 which two of these are parallel?? ​

2nd and 4th are parallel

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3y + x = 5 ( subtract x from both sides )

3y = - x + 5 ( divide terms by 3 )

y = - x + ← in slope- intercept form

with slope m = -

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x - 3y = 12 ( subtract x from both sides )

- 3y = - x + 12 ( divide terms by - 3 )

y = x - 4 ← in slope- intercept form

with slope m =

-------------------------------------------------------

y = 3x - 2 ← in slope- intercept form

with slope m = 3

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6y - 2x = 7 ( add 2x to both sides )

6y = 2x + 7 ( divide terms by 6 )

y = x + ← in slope- intercept form

with slope m =

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Parallel lines have equal slopes.

The 2nd and 4th have equal slopes and are parallel

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b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b