The answer for your question is (x,y)=(4,9)
The slope-intercept form:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
m - slope
b - y-intercept
We have the slope ![m=\dfrac{1}{3}\to y=\dfrac{1}{3}x+b](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B1%7D%7B3%7D%5Cto%20y%3D%5Cdfrac%7B1%7D%7B3%7Dx%2Bb)
and point (9, 7). Substitute:
![7=\dfrac{1}{3}(9)+b](https://tex.z-dn.net/?f=7%3D%5Cdfrac%7B1%7D%7B3%7D%289%29%2Bb)
<em>subtract 3 from both sides</em>
![4=b\to b=4](https://tex.z-dn.net/?f=4%3Db%5Cto%20b%3D4)
Answer: ![y=\dfrac{1}{3}x+4](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B1%7D%7B3%7Dx%2B4)
We watch where the two lines intersect.
And that is at x = 3, and y = 0.
So it is (3, 0). Option C.