The given equation is:
$$ \color{blue}{ y = - \frac{ 3 }{ 2 } x + 1 } $$To draw the graph we will find y-intercept and x-intecept.
To find y - intercept we substitute $ \color{blue}{x = 0} $:
$$ \begin{aligned} y &= - \frac{ 3 }{ 2 } x + 1 \\y &= - \frac{ 3 }{ 2 } \cdot \color{blue}{0} + 1\\y &= 1 \\\end{aligned} $$To find x - intercept we substitute $ \color{blue}{y = 0}$:
$$ \begin{aligned} y &= - \frac{ 3 }{ 2 } x + 1 \\\color{blue}{0} &= - \frac{ 3 }{ 2 } x + 1\\x &= \frac{ 2 }{ 3 }\end{aligned} $$So, the graph of the equation is: