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kirill115
2 months ago
5

Determine if JK and LM are parallel ,perpendicular, or neither. J(13,-5) K(2,6) L(-1,-5) M(-4,-2)

Mathematics
1 answer:
tester [12.3K]2 months ago
7 0

Answer:

The lines are parallel

Step-by-step explanation:

it's established that

To find the slope between two points, we use the formula

m=\frac{y2-y1}{x2-x1}

Keep in mind

If lines are parallel, their slopes must be identical

When lines are perpendicular, their slopes are negative reciprocals (the product equals -1)

step 1

Determine the slope of JK

we have

J(13,-5),K(2,6)

insert the values

m=\frac{6+5}{2-13}

m=\frac{11}{-11}

m_J_K=-1

step 2

Compute the slope of LM

we have

L(-1,-5),M(-4,-2)

insert the values

m=\frac{-2+5}{-4+1}

m=\frac{3}{-3}

m_L_M=-1

step 3

Analyze the slopes

m_J_K=-1

m_L_M=-1

thus

m_J_K=m_L_M

hence

The lines are parallel

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