Answer:
[tex]m_1 = m_2 = 4[/tex]
Step-by-step explanation:
Given
[tex]y = 4x + 1[/tex]
[tex]y = 4x + 10[/tex]
Required
Show that these two lines have no point of intersection
The general equation of a line is
[tex]y = mx + b[/tex]
Where m represents slope
In [tex]y = 4x + 1[/tex]
[tex]m = 4[/tex]
Similarly; in [tex]y = 4x + 10[/tex]
[tex]m = 4[/tex]
Since the slope of both lines are equal;
[tex]m_1 = m_2 = 4[/tex]
This implies that the lines are parallel and parallel lines have no point of intersection
See Attachment for Graph
