The equation of a parallel line is y = 2x + 5.
Solution:
Given equation of a line is y = 2x - 3.
Slope of the line
= 2
If two lines are parallel, then the slope of their lines are equal.
![\Rightarrow m_1=m_2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/cf3s2j4ig13688mtpupen5e1nnsmjg4yta.png)
![\Rightarrow m_2=2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/o14sb4znd8sql9gljqbtqtgcolfpfrni7k.png)
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.