Which graph has a slope of ?

A coordinate plane with a straight line. The line starts at (negative 5, negative 4) and passes through points at (0, 1) and (4, 5).
A coordinate plane with straight line. The line starts at (negative 5, negative 2) and passes through points at (negative 1, 0) and (4, 5).

A coordinate plane with straight line. The line starts at (negative 5, negative 1) and passes through points at (negative 2, 0) and (3, 2).

A coordinate plane with straight line. The line starts at (negative 4, negative 5) and passes through points at (0, 0) and (4, 5).

Which graph has a slope of A coordinate plane with a straight line The line starts at negative 5 negative 4 and passes through points at 0 1 and 4 5 A coordinat class=

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Answer:

-Coordinate Plane B

Explanation:

  The slope of a line is determined using m = rise/run. Rise is equal to [tex]y_{2} -y_{1}[/tex]. Now, substituting the y values from graph B into that equation you get [tex]y_{2}[/tex] = 5 and [tex]y_{1}[/tex] = 1. The x values are 4 as [tex]x_{2}[/tex] and -1 as [tex]x_{1}[/tex]. Given these values, m = [tex]\frac{5-1}{4-(-1)}[/tex] or [tex]\frac{4}{5}[/tex].