Answer:
y=2.5x+10
Step-by-step explanation:
The given line is y=2.5x+4.
Here, the slope of the line, [tex]m_0=2.5[/tex] and
the y-intercept of the line, [tex]C_0=4[/tex].
The graph of the line has been shown in the figure.
The parallel lines never intersect each-other and always have a fixed distance between then.
Mathematically, a line having the slope, m, and the y-intercept, C, i.e
y=mx+C is parallel to the given line if it has equal slopes, [tex]m=m_0[/tex], and different intercepts, [tex]C\neq C_0[/tex].
So, the equation of the parallel line is
y=2.5x+C, where [tex]C\neq 4[/tex].
For example, take C=10 than the equation of a parallel line is
y=2.5x+10 has been shown in the graph.
Like this, there are infinitely many possible parallel lines to the given line.
