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 same
points (-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
