Determinants are used to write an equation of a line passing through two points. An equation of the line passing through the distinct points $$\left( x _ { 1 } , y _ { 1 } \right) \text { and } \left( x _ { 2 } , y _ { 2 } \right)$$ is given by $$\left| \begin{array} { l l l } { x } & { y } & { 1 } \ { x _ { 1 } } & { y _ { 1 } } & { 1 } \ { x _ { 2 } } & { y _ { 2 } } & { 1 } \end{array} \right| = 0.$$ Use this information to work the exercise. Use the determinant to write an equation of the line passing through (3, -5) and (-2, 6). Then expand the determinant, expressing the line s equation in slope-intercept form.