Question

What is the slope of a line that passes through the points open parentheses 5 comma 3 close parentheses and open parentheses 7 comma short dash 4 close parentheses?

Answer 1

`slope \: = - ( 7)/(2)`

Explanation:

To find the slope of the line that passes through the points

`\: {x}^(1) \: \: {y}^(1) \: \: \: \: \: \: \: \: \: \: \: \: \: \: {x}^(2) \: \: \: \: {y}^(2) \\ (5, \: \: 3) \: \: \: and \: \: (7, \: - 4)`

We have to follow the formula:

`\frac{ {y}^(2) - {y}^(1) }{ {x}^(2) - {x}^(1) } \\ \\ ( - 4 - 3)/(7 - 5) \\ \\ slope = - ( 7)/(2)`