Answer :
The slope of the line passing through the points (-5, 3) and (7, 9) is [tex]\frac{1}{2}[/tex].
What is the expression of slope of a line that passes through two points?
If the line passes through points (x, y) and (x, y) then the slope of the line will be: [tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
Given, two points are (-5, 3) and (7, 9).
Therefore, slope of the line that passes through above two points is:
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
[tex]= \frac{9 - 3}{7 - (- 5)}\\= \frac{6}{12}\\ = \frac{1}{2}[/tex]
Therefore, the slope of the line will be [tex]\frac{1}{2}[/tex].
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