Function:
[tex]y=\frac{3}{4}x-3[/tex]
To know which graph represents our function, we can see that all the graphs have different y and x-intercepts. Meaning that we can calculate these parameters and see which graph is.
• Calculating y-intercept: x = 0
[tex]y=\frac{3}{4}\cdot0-3[/tex][tex]y=-3[/tex]
The y-intercept happens at (0, -3).
Based on this, we can see that Graph B is not an option. However, Graph A and C are still options. To evaluate which is the correct one we have to calculate the x-intercept.
2. Calculating the x-intercept: y = 0
[tex]0=\frac{3}{4}x-3[/tex][tex]\frac{3}{4}x=3[/tex][tex]3x=3\cdot4[/tex][tex]x=\frac{3}{3}\cdot4[/tex][tex]x=4[/tex]
Then, the x-intercept is (4, 0).
Answer: Graph A
