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N76 [4]
3 years ago
6

Which statement is true about parallel lines?

Mathematics
2 answers:
Ratling [72]3 years ago
8 0

Answer:

C

Step-by-step explanation:

m_a_m_a [10]3 years ago
8 0

Answer:

C( They do not intersect, but are coplanar

Step-by-step explanation:

Parallel lines are coplanar (they lie in the same plane) and never intersect.

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Answer:

Step-by-step explanation:

Find the slope and then the equation of line.

(x₁ , y₁) = (2 , 2)   & (x₂, y₂) = (6 , 10)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

        = \frac{10 - 2}{6 - 2}\\\\= \frac{8}{4}\\\\= 2

m = 2

Equation of the line: y - y₁  = m(x - x₁)

              y - 2 = 2 (x - 2)

              y - 2 = 2x - 4

                   y = 2x - 4 + 2

                  y = 2x - 2  --------------(I)

(a, 8)  

Plug in x = a & y = 8 in (I)

8  = 2a - 2

8 + 2 = 2a

10   = 2a

a = 10/2

a = 5

(4 , b)

Plug in x = 4 & y = b in (I)

b = 2*4 - 2

b = 8 - 2

b = 6

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