What is the slope of the line shown in the graph? A coordinate plane is shown with points graphed at negative 2 comma 2 and 0 comma 1. The points are joined by a line. −2 −1 −1 over 2 1 over 2

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Answer:

The slope would be 1 over -2 or -0.5

Step-by-step explanation:

Rise (change in y) over run (change in x)

Point A (-2, 2)

Point B (0, 1)

2 - 1

--------  =  -0.5

-2 - 0

The slope of the given line can be found by finding the ratio of difference in y ordinate and difference in x abscissa.

The slope of given line is calculated as -1/2 = -0.5

Given that:

  • The first point's coordinate = (-2,2)
  • The second point's coordinate = (0,1)
  • The points are joined by a line.

To find:

Slope of aforementioned straight line.

Calculation of slope:

Slope is ratio of rise vs run.

The coordinate is expressed as (x abscissa, y ordinate).

The "run" is calculated as difference in x abscissa of two points on a line.

Thus:

run = -2 - 0 = -2

The "rise" is calculated as how much y ordinate rise on that run, and thus its a difference of y ordinates of those two points:

rise = 2 - 1 = 1

Thus, the slope is:

[tex]slope = \dfrac{rise}{run } = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{1}{-2} = -\dfrac{1}{2}[/tex]

Thus, slope of given line is -1/2.

Learn more about straight line here:

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