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An important postulate in geometry states: "Through Point P, there is only one line parallel to ". What is the equation of line l, parallel to AB that passes through Point X?

An important postulate in geometry states Through Point P there is only one line parallel to What is the equation of line l parallel to AB that passes through P class=

Respuesta :

calculista

Answer:

y=(-5/12)x+(95/12)

Step-by-step explanation:

step 1

Find the slope of the line AB

m=(3-8)/(2+10)=-5/12

step 2

Find the slope of the line parallel to AB

we know that

If two lines are parallel then their slopes are the same

so

the slope is m=-5/12

step 3

Find the equation of the line l parallel to AB that passes through Point X

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

substitute

y-10=(-5/12)(x+5)

y=(-5/12)x-(25/12)+10

y=(-5/12)x+(95/12)

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