Question

What is the equation for the values in the table

Answer 1

Explanation:

Taking any two points through which the line passes;(-10,-3) and (-5,-1)

The equation of the line is given by

`(y2 - y1)/(x2 - x1) = (y - y1)/(x - x1)`

`=> ( - 1 - ( - 3))/( - 5 - ( - 10)) = (y - ( - 3))/(x - ( - 10)) = (y + 3)/(x + 10)`

`=> ( - 1 + 3)/( - 5 + 10) = (y + 3)/(x + 10)`

`=> (2)/(5) = (y + 3)/(x + 10)`

`=> 5(y + 3) = 2(x + 10)`

=> 5y+15 = 2x+20

=> 5y =2x+5

`=> y= (2)/(5) x + 1`

option C