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avatar+29 

Write an equation that represents the linear relationship between the variables in the table

x   0,     1,     2,     3,     4,     5

y   7,      2,    -3,    -8,   -13, -18

 

ty :)

 Jun 4, 2021
 #1
avatar+179 
+4

Let y = ax+b

 

Letting (x, y) = (0, 7), we obtain the equation a(0)+b=7, or b= 7

 

Letting (x, y) =(1, 2), we obtain the equation a+7=2, or a= -5

 

Thus, the equation is y= -5x + 7

 Jun 4, 2021
 #2
avatar+287 
+1

the linear  equation   y = mx +b

 

relationship between the variables in the table.

m =   (y2 - y1)  / (x2 - x1) =  (2-7) / (1-0)  ,  m = - 5,

    then  y =  -5x +b

find b : value from table : y = 7, x = 0

7 = -5(0) + b 

b = 7

Then  an equation that represents the linear relationship between the variables in the table.

y = -5x +7

 

 Jun 4, 2021

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