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The graph of a linear of y in terms of passes through the points located at (- 3, 4) and (2, - 6) in the coordinate plane Which value represer the rate of change of y with respect to this function Select one answer

Answer :

the rate of change of y with a linear function is the slope, so we just need to calculate

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

with the points (x1,y1) and (x2,y2)

now replaced with the points (- 3, 4) and (2, - 6)

[tex]\frac{(-6)-4}{2-(-3)}=\frac{-10}{5}=-2[/tex]

So the answer is: -2

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