Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]y=\frac{3}{4}x-4[/tex]
This is a linear equation (the graph is a line)
To identify the graph find out the intercepts
Find out the y-intercept
The y-intercept is the value of y when the value of x is equal to zero
For x=0
[tex]y=\frac{3}{4}(0)-4=-4[/tex]
The y-intercept is the point (0,-4)
Find out the x-intercept
The x-intercept is the value of x when the value of y is equal to zero
For y=0
[tex]0=\frac{3}{4}x-4[/tex]
[tex]\frac{3}{4}x=4[/tex]
[tex]x=16/3=5.33[/tex]
The x-intercept is the point (5.33,0)
therefore
The graph in the attached figure
