From the equation
[tex]y=\frac{3}{4}x+2[/tex]We can conclude that the y-intercept is 2
Now, let's find the x-intercept:
[tex]\begin{gathered} 0=\frac{3}{4}x+2 \\ \rightarrow-2=\frac{3}{4}x\rightarrow-8=3x\rightarrow-\frac{8}{3}=x \\ \\ \Rightarrow x=-\frac{8}{3} \end{gathered}[/tex]Now, the x-intercept is around -2.67
The only graph that has both the x and y intercepts we've calculated is the one from option A
Answer: A