Answer:
[tex]slope \: = - \frac{ 7}{2} [/tex]
Step-by-step explanation:
To find the slope of the line that passes through the points
[tex] \: {x}^{1} \: \: {y}^{1} \: \: \: \: \: \: \: \: \: \: \: \: \: \: {x}^{2} \: \: \: \: {y}^{2} \\ (5, \: \: 3) \: \: \: and \: \: (7, \: - 4)[/tex]
We have to follow the formula:
[tex] \frac{ {y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} } \\ \\ \frac{ - 4 - 3}{7 - 5} \\ \\ slope = - \frac{ 7}{2} [/tex]