The slope between two given points (2, 1) and (8, 9) is [tex]\frac{4}{3}[/tex].
"The slope of a straight line is the tangent of its inclination and is denoted by letter ‘m’ i.e. if the inclination of a line is θ, its slope m = tan θ."
We know, the slope 'm' in between two given points (x₁, y₁) and (x₂, y₂) is [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex].
Given, two points are (2, 1) and (8, 9).
Therefore, the slope between these two points is m
[tex]=\frac{9 - 1}{8 - 2}\\= \frac{8}{6}\\= \frac{4}{3}[/tex]
Therefore, the slope between two given points is [tex]\frac{4}{3}[/tex].
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