The given equation is:
$$ \color{blue}{ y = 2 x + \frac{ 5 }{ 2 } } $$To draw the graph we will find y-intercept and x-intecept.
To find y - intercept we substitute $ \color{blue}{x = 0} $:
$$ \begin{aligned} y &= 2 x + \frac{ 5 }{ 2 } \\y &= 2 \cdot \color{blue}{0} + \frac{ 5 }{ 2 }\\y &= \frac{ 5 }{ 2 } \\\end{aligned} $$To find x - intercept we substitute $ \color{blue}{y = 0}$:
$$ \begin{aligned} y &= 2 x + \frac{ 5 }{ 2 } \\\color{blue}{0} &= 2 x + \frac{ 5 }{ 2 }\\x &= -\frac{ 5 }{ 4 }\end{aligned} $$So, the graph of the equation is: