Respuesta :

The slope of the line passes through point (0, -1) and (3, 5) is 2.

What is the Slope of line?

a slope of a line is the change in y coordinate with respect to the change in x coordinate. The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx. Hence, the change in y-coordinate with respect to the change in x-coordinate is given by,

m = change in y/change in x = Δy/Δx

Here    , [tex]x_{1}=0, x_{2} = 3, y_{1}=-1, y_{2}=5[/tex]

Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

m = [tex]\frac{5 - (-1))}{3 - 0}[/tex]

m = [tex]\frac{6}{3}[/tex]

m = 2

Thus, the slope of the line passes through point (0, -1) and (3, 5) is 2.

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