The slope of the straight line that passes through the points (5,11) and (14,-10) is [tex]\frac{-7}{3}[/tex].
What is a straight line?
''A straight line is an endless one-dimensional figure that has no width. A straight line is a combination of endless points joined on both sides of a point.''
Given, two points are (5, 11) and (14, -10).
Let, the line that passes through both these points has a slope = m.
Where, m = [tex]\frac{y_2 - y_{1} }{x_2- x_{1} }[/tex].
Here, (y₂ - y₁) = Change in the value of y.
(x2 - x₁) = Change in the value of y.
Therefore, [tex]\frac{y_2 - y_{1} }{x_2- x_{1} }[/tex] = [tex]\frac{-10 - 11}{14 - 5}[/tex] = [tex]\frac{-21}{9}[/tex] = [tex]\frac{-7}{3}[/tex]
Hence, slope of the straight line is [tex]\frac{-7}{3}[/tex].
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