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DᴀʀᴋPᴀʀᴀᴅᴏx

[tex]\huge \sf༆ Answer ༄[/tex]

Rate of change is ~ slope (m) of the line connecting the given point coordinates.

that is ;

[tex]{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \dfrac {y_2 - y_1 }{x_2 - x_1}[/tex]

[tex]{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \dfrac{15 -8 }{5 - 9} [/tex]

[tex]{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \dfrac {7 }{ - 4}[/tex]

[tex]{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: - \dfrac {7 }{ 4}[/tex]

Therefore, the Rate of change is ~

[tex]\overbrace{  \underbrace{\underline{ \boxed{ \sf - \frac{7}{4} }}}}[/tex]

The rate of change of y with respect to x is - 7 / 4

what is rate of change:

The rate of change is the rate at which one quantity changes in relation to another.

Therefore, the rate of change of y with respect to x is an evaluation of how much y changes per unit change in x.

Therefore,

  • y₂ - y₁ / x₂ - x₁

let's use (9, 8) and (5, 15)

Rate of change = 15 - 8 / 5 - 9

Rate of change =   7 / - 4

Rate of change = - 7  /4

learn more on rate of change here: https://brainly.com/question/11883878

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