Answer:
The slope of the given two points is [tex]m=\frac{7}{8}[/tex]
Step-by-step explanation:
Given two points are (-5,2) and (3,9)
To find the slope with these two points
Let [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] be the given points
By using Slope Formula:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{9-2}{3-(-5)}[/tex]
[tex]m=\frac{9-2}{3+5}[/tex] ( subtracting and adding the corresponding terms)
[tex]m=\frac{7}{8}[/tex]
Therefore slope is [tex]m=\frac{7}{8}[/tex]
The slope of the given two points is [tex]m=\frac{7}{8}[/tex]
