The equation of line passing through (3,5) and (-2,7) using determinants is given by:
The equation of line in slope-intercept form is:
![\begin{gathered} 2x+5y-31=0 \\ y=(-2)/(5)x+(31)/(5) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/k2ipzw4i55rp0044ukbe7fnwa8d2dlm5vl.png)
Equation of line in standard form and general form is given by:
![2x+5y-31=0](https://img.qammunity.org/2023/formulas/mathematics/college/vwkn1s02grtjej8alc6q4ekx0zow3nk4v8.png)
The equation of line in slope-point form is given by:
![y-5=(-2)/(5)(x-3)](https://img.qammunity.org/2023/formulas/mathematics/college/pasunx9ifmupdfe8pn99n453c5rtixcfpi.png)