For this case we need to remember the definition of a line given by this formula:
![y=mx+b](https://img.qammunity.org/2023/formulas/mathematics/high-school/smsb8cbft03lwblmi49nf2l6jby2ofxzws.png)
And we have the following points given: (2,3) and (5,8)
And we can find the slope with the following formula:
![m=(y_2-y_1)/(x_2-x_1)=(8-3)/(5-2)=(5)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/7v697y4ld0wgtf20ppplwwlakksvidmjeo.png)
And using one point we got:
![3=(5)/(3)(2)+b](https://img.qammunity.org/2023/formulas/mathematics/college/lvd5mzz3e5c8hj8hmfti876no2crw82eex.png)
And solving for b we got:
![b=3-(10)/(3)=-(1)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/7eqxnry972qq6hf91x4apttlj95ajpvubz.png)
And our equation would be:
![y=(5)/(3)x-(1)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/j8j738p1mph7nskkl3shpxrrz5uba6rx2f.png)