Respuesta :

The line which passes through (-4,2) and (-5,0) has a slope of 2.

Let,

[tex](x_{1},y_{1})[/tex] = (-4,2)

[tex](x_{2},y_{2})[/tex] = (-5,0)

If the points are equal to each other, their x-coordinates are equal to each other:

[tex]x_{1}[/tex]=-4

[tex]x_{2}[/tex]=-5

If the points are equal to each other, their y-coordinates are equal to each other:

[tex]y_{1}[/tex]=2

[tex]y_{2}[/tex]=0

The slope, m is the steepness of a line and it is measured as the ratio of the change in vertical distance, rise over the change in horizontal distance, run.

The slope of the line, m:

m = ([tex]y_{2}[/tex]-[tex]y_{1}[/tex])/([tex]x_{2}[/tex]-[tex]x_{1}[/tex])

m=(0-2)/(-5-(-4))

m=(-2)/(-1)

m=2

The slope of the line for the two points is 2.

Learn more about the slope of straight lines at:

https://brainly.com/question/1733527

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