Question

What is the equation for the values in the table

Answer 1

Step-by-step explanation:

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

The equation of the line is given by

$\frac{y2 - y1}{x2 - x1} = \frac{y - y1}{x - x1}$

$=> \frac{ - 1 - ( - 3)}{ - 5 - ( - 10)} = \frac{y - ( - 3)}{x - ( - 10)} = \frac{y + 3}{x + 10}$

$=> \frac{ - 1 + 3}{ - 5 + 10} = \frac{y + 3}{x + 10}$

$=> \frac{2}{5} = \frac{y + 3}{x + 10}$

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

=> 5y+15 = 2x+20

=> 5y =2x+5

$=> y= \frac{2}{5} x + 1$

option C