Answer:
Option B is the correct choice.
Step-by-step explanation:
The graph is attached below.
We have to find the [tex]x[/tex] intercept meaning the value of the point on[tex]x-axis[/tex] when [tex]y=0[/tex]
So we will put the value of zero [tex](0)[/tex] instead of [tex]y[/tex] in our given equation.
So here we have solved it algebraically.
[tex]y=\frac{3}{4}x-3[/tex]
Putting [tex]y=0[/tex]
[tex]0=\frac{3}{4}x-3[/tex]
[tex]0=\frac{3x-12}{4}[/tex]
Multiplying [tex]4[/tex] both sides.
[tex]0=3x-12[/tex]
Adding [tex]12[/tex]both sides.
[tex]12=3x[/tex]
Dividing with [tex]3[/tex] both sides.
[tex]x=\frac{12}{3}=4[/tex]
So the x-intercept of the given equation is [tex]4[/tex] which can be written as [tex](4,0)[/tex] in terms of coordinates.
Option B [tex](4,0)[/tex] is the correct choice.
