Question

The table shows a linear relationship between x and y. Drag and drop the options provided into the correct boxes to complete the equation. х 1 0 6 -4 41 у 9 -39 The equation that represents the relationship Is y = -8 -41 ON 9 4 O?

Answer 1

To calculate the equation first we need to choose two points of the table

P1 (1,1)=(x1,y1)

P2(0,9)=(x2,y2)

then we calculated the slope m

`m=(y_2-y_1)/(x_2-x_1)`

substituting the points we have

`m=(9-1)/(0-1)=(8)/(-1)=-8`

then we can calculate the equation

`(y-y1)=m(x-x1)`
`(y-1)=-8(x-1)`

`y-1=-8x+8`

`y=-8x+8+1`

the equation is

`y=-8x+9`