Write a linear function in slope intercept form only that corresponds with this table​

Y = 3x + 1

Because,
slope intercept form is y=mx+b
Where y is the y values, m is slope, x is x values, and b is y-intercept

First, to find the slope use rise/run, so rise (from 10 to 13) is 3 and run is (from 3 to 4) is 1, 3/1=3

Next to find y-intercept plug in the slope and some x and y values,
10=3(3)+b
10=9+b
1=b
So then the equation is y=3x+1 you can check by plugging stuff in and also I graphed it so I’ll add a picture

This is my first time answering questions so if I got something wrong ask or something hope this helps :)