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Mazyrski [523]
3 years ago
5

Which pair of lines are parallel? Select all that apply

Mathematics
1 answer:
sattari [20]3 years ago
3 0

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

By definition, if two lines are parallel then their slopes are equal.

Option A:

y = -2x + 3\\y = 2x-3

The slopes are not the same.

Option B:

y = 2x-1\\y = 2x + 8

The slopes are the same so the lines are parallel.

Option C:

y = 4x + 6\\y = -4x-6

The slopes are not the same.

Option D:

y = -3x + 1\\y = -4x + x-1 = -3x-1

The slopes are the same so the lines are parallel.

Answer:

The parallel lines are: Option B and Option D

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1. this is the definition of a midpoint - bc the definition of a midpoint is: “If a point is a midpoint of a segment, then it divides that segment into two congruent parts” or “If a point divides a segment into two congruent parts, then it's the midpoint of that segment.”

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3. this one's the subtraction property of equality- this property means you can subtract the same number from both sides of an equation and get an equivalent equation. in this situation, they subtracted 15 from both sides to get AB = 30 and it ends being still being equal to AB + 15= 45.

4. this is the symmetric property of equality -  "This property states that if a = b, then b = a. That is, we can interchange the sides of an equation, and the equation is still a true statement." "it states that values are still equal no matter which side of the equal sign they're on." That's why its possible for XY=ST and ST=XY

5. this is definition of congruence - which basically states that if a value of one thing is equal to the value of another thing those two things can be called congruent.

6. this is substitution property- this is the property that allows you to substitute one value for another in an equation. the property states  that if  

x = y, then x can be substituted in for y in any equation, and y can be substituted for x in any equation, just like what they show here with 5AB substituting for CD in the equation.

i hope this helped!   im not that good at explaining so if u have more questions lmk!          

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