Answer:
slope = - [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 0) and (x₂, y₂ ) = (32, - 5)
m = [tex]\frac{-5-0}{32-2}[/tex] = [tex]\frac{-5}{30}[/tex] = - [tex]\frac{1}{6}[/tex]
The slope of the line passing through the points (2,0) and (32,-5) is -1/6
The equation of a straight line is given by:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
The slope of the line passing through the points (2,0) and (32,-5) is:
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-5-0}{32-2} \\\\m=-\frac{1}{6}[/tex]
The slope of the line passing through the points (2,0) and (32,-5) is -1/6
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