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photoshop1234 [79]
2 years ago
15

Explain why you cannot find the intersection points of the two lines shown below. Give both an algebraic reason and a graphical

reason. y=4x+1 and y= 4x+10

Mathematics
1 answer:
Art [367]2 years ago
5 0

Answer:

m_1 = m_2 = 4

Step-by-step explanation:

Given

y = 4x + 1

y = 4x + 10

Required

Show that these two lines have no point of intersection

The general equation of a line is

y = mx + b

Where m represents slope

In y = 4x + 1

m = 4

Similarly; in y = 4x + 10

m = 4

Since the slope of both lines are equal;

m_1 = m_2 = 4

<em>This implies that the lines are parallel and parallel lines have no point of intersection</em>

<em></em>

<em>See Attachment for Graph</em>

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