The equation of a parallel line is y = 2x + 5.
Solution:
Given equation of a line is y = 2x - 3.
Slope of the line [tex](m_1)[/tex] = 2
If two lines are parallel, then the slope of their lines are equal.
[tex]\Rightarrow m_1=m_2[/tex]
[tex]\Rightarrow m_2=2[/tex]
y-intercept of the parallel line = 5
That is b = 5.
Equation of a parallel line:
y = mx + b
y = 2x + 5
Hence the equation of a parallel line is y = 2x + 5.
