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

Question

asked Oct 23, 2021 136k views

1 Answer

Anup GC · Answer 1 · 2021-10-30T01:28:56+0000

Answer:

m_1 = m_2 = 4

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

This implies that the lines are parallel and parallel lines have no point of intersection

See Attachment for Graph