Respuesta :
Using linear function concepts, we have that:
A. The more accurate definition is that they meet at infinity.
B. The undefined term in this case is the point, which is at infinity.
What is a linear function?
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
If two lines are parallel, they have the same slope. Then suppose we have two parallel lines given as follows:
- y1 = m1x + b1.
- y2 = m2x + b2.
They will meet when:
y1 = y2.
Hence:
m1x + b1 = m2x +b2.
m1x - m2x = b2 - b1
x(m1 - m2) = b2 - b1
x = (b2 - b1)/(m2 - m1)
However, since they are parallel, m2 = m1 and:
x = (b2 - b1)/0
x = undefined/infinity.
Thus a more accurate definition is that they meet at infinity, meaning that they will meet at an undefined point, just like all parallel lines.
More can be learned about linear function concepts at https://brainly.com/question/24808124
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