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Enter and equation relating the variables in the table. Express any value(s) in your answer as simplified fractions, if necessary.

Time (x) - 18, 45, 72, 81

Distance (y) - 8, 20, 32, 36

The equation is y =

Respuesta :

semsee45

Answer:

[tex]y=\dfrac49x[/tex]

Step-by-step explanation:

Let [tex](x_1,y_1)[/tex] = (45, 20)

Let [tex](x_2,y_2)[/tex] = (72, 32)

using slope formula to find slope [tex]m[/tex]:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{32-20}{72-45}=\dfrac49[/tex]

using point-slope formula:

 [tex]y-y_1=m(x-x_1)[/tex]

[tex]\implies y-20=\dfrac49(x-45)[/tex]

[tex]\implies y-20=\dfrac49x-20[/tex]

[tex]\implies y=\dfrac49x[/tex]

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