The given function is
[tex]f(x)=\frac{3}{2}x-4[/tex]
To graph a linear equation we just need two points. Let's find the intercepts of the line.
Evaluate the function when x = 0.
[tex]f(0)=\frac{3}{2}(0)-4=-4[/tex]
The first point is (0,-4).
Evaluate the function when y = 0.
[tex]\begin{gathered} 0=\frac{3}{2}x-4 \\ 4=\frac{3}{2}x \\ x=\frac{4\cdot2}{3} \\ x=\frac{8}{3}=2.7 \end{gathered}[/tex]
The second point is 8/3 or 2.7.
Then, plot both points and draw a line through them.
