Respuesta :
Answer:
slope = 0
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 ) = (- 8, - 3) and (x₂, y₂ ) = (- 12, - 3)
m = [tex]\frac{-3+3}{-12+8}[/tex] = [tex]\frac{0}{-4}[/tex] = 0
Slope is rise per run. Rise is difference of y ordinates and run is difference of corresponding x abscissa.
The slope of the line that passes through the given points is 0
Given that:
- The two specified points are: (-8,-3), and (-12, -3)
To find:
Slope of the line that passes through given points.
Finding the slope of a line passing through given points:
In graphing, we use Cartesian plane and assume y axis to be perpendicular and mostly we take height or depth related stuffs on y axis, that's why y ordinates will be considered to calculate the rise and x axis is like flat ground, thus x abscissa will be used to calculate the run.
Let the points' coordinates are denoted by symbols as:
[tex](x_1, y_1) = (-8,-3)\\ (x_2, y_2) = (-12, -3)\\ [/tex]
[tex]slope = \dfrac{rise}{run} = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{(-3) - (-3)}{(-12)-(-8)} = \dfrac{0}{-4} = 0[/tex]
Slope is zero means you run whatever, the rise is 0, which means the line is not going to rise and stay flat (horizontal).
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