Is the function described by the points in this table linear or nonlinear? X Y-3 -5-1 -10 11 33 71)nonlinear2)linear

Any function is linear when it's slope is same so, we will find slope by two points and then we check whether they are samepoints (-3, -5) and (-1,-1):we can use slope formula[tex] m=\frac{y_2-y_1}{x_2-x_1} [/tex][tex] m=\frac{-1+5}{-1+3} [/tex][tex] m=2 [/tex]Points (-1,-1) and (0,1):[tex] m=\frac{1+1}{0+1} [/tex][tex] m=2 [/tex]points (0,1) and (1,3):[tex] m=\frac{3-1}{1-0} [/tex][tex] m=2 [/tex]points (1,3) and (3,7):[tex] m=\frac{7-3}{3-1} [/tex][tex] m=2 [/tex]we can see that slope is 2 for all points so, this is linear.........................Answer