which two lines are parallel?

Question

5y=-3x-5
5y=-1-3x
3y-2x=-1

Answer 1

the first two

Answer 2

Two parallel lines will have the same slope. The function of a line is defined by the equation y = m(x + c) where c is a constant and m represents the slope of the line.
Thus if you use algebra to manipulate the three equations into the form of y = mx +c, the equations with the same value for m will be parallel.

(That's the logic behind the answer. You'll want to know that more than the actual answer itself, or you'll fail the test when it comes.)
equation 1: 5y = -3x - 5 can be rewritten as
y = (-3/5)x - 1

equation 2: 5y = 1-3x can be rewritten as
y = (1/5) - (3/5)x or
y = (-3/5) x + (1/5)

equation 3: 3y - 2x = -1 can be rewitten as
3y = 2x - 1
y = (2/3)x - (1/3)

From that, you can see that the first two equations have the same value for m (-3/5) and thus must be parallel.

Answer 3

5y = -3x -5
and
5y = -1 -3x are parallel because they have the same slope.

to find the slope of an equation follow the
y = mx + b equation where m is the slope of a line and b is a constant that tells you where the line is placed relative to the x and y axes.

if you divide the entire equation by x you get
y/x = m + b/x Since b is a constant you can ignore b for the purpose of finding an equation's slope, getting y/x = m.

In this example 5y is divided by -3x to get
1 = to (-5/3)(y/x) when b = 0
or (y/x) = (-3/5) = m
therefore the slope of each line is (-3/5)

The real reasoning behind this comes from derivatives. I didn't mention that earlier, because that's a bit more difficult to work with than algebra equations like this.

Answer 4

The first 2 because they have the same slope.
Put each line in the form y = mx+b to see this.

Answer 5

5y=-3x-5
&
5y=-1-3x

because the x is being multiplied by the same numer

Answer 6

Graph them on paper and u will see which are parallel

Answer 7

you can tell if the number thats being multiplied by x is the same. in this case, 3.

Answer 8

hint: parallel lines will have equal slopes.

Answer 9

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