Question
What is the slope intercept form.slope 1/3 and passes through (6,-1)
Solution
We know that the slope intercept formula is given by:
![y=mx+b](https://img.qammunity.org/2023/formulas/mathematics/high-school/smsb8cbft03lwblmi49nf2l6jby2ofxzws.png)
where m is the slope and b the intercept so we can do this:
![y=(1)/(3)x+b](https://img.qammunity.org/2023/formulas/mathematics/high-school/5ost2pbg2umq7ncgc8dncxlznw7z3danga.png)
Now we can use the point given x=6 and y=-1 to solve for b and we got:
![-1=(1)/(3)(6)+b](https://img.qammunity.org/2023/formulas/mathematics/college/3dnjv3jt3hqw3s81ubcgyx21g81p4l7zk0.png)
![b=-1-2=-3](https://img.qammunity.org/2023/formulas/mathematics/college/ftogtuzwewy60gp14mcql8j3482wss9vsk.png)
So our equation would be:
![y=(1)/(3)x-3](https://img.qammunity.org/2023/formulas/mathematics/college/cype9bkx0m771r0mvo7xtgkfcfza9hit7x.png)