Question

Find a linear relation between the components of the ordered pairs of the relation R defined as {(0,-9) ;(1,-4) ;(2,1) ;(3,6) ;(4,11) ;(5,16)}

Answer 1

Answer:

Step-by-step explanation:

Points are collinear if slope of any two pairs of points is the same.

Slope m = ($y_{2}$ - $y_{1}$) / ($x_{2}$ - $x_{1}$) = $\frac{rise}{run}$

For (0,-9) and (1,-4): m = $\frac{-4-(-9)}{1-0}$ = 5

For (1,-4) and (2,1): m = $\frac{1-(-4)}{2-1}$ = 5

For (2,1) and (3,6): m = $\frac{6-1}{3-2}$ = 5

For (3,6) and (4,11): m = $\frac{11-6}{4-3}$ = 5

For (4,11) and (5,16): m = $\frac{16-11}{5-4}$ = 5

Thus, relation between ordered pairs is linear.