I NEED THIS DONE ASAP PLEASE
Is the relationship shown by the data linear? If it is, write an equation for the data. If not, explain why in a sentence. x y -3 4 -1 6 1 7 3 10

Respuesta :

lets assume line of equation is

y = mx +c

if all above points are likes on this line then it should should satisfy the equation .

so putting first two points to calculate m and c

using point (-3,4)

y = mx + c

4 = -3m+c

using 2nd point (-1, 6)

y = mx + c

6 = -m +c

subtracting eq2 from eq1

4 - 6 = -3m + c + m - c

-2 = -2m

m = 1

putting it back in eq1

4 = -3m + c

4 = -3×1 + c

c = 4+3 = 7

so equation of line is

y = 1×x+ 7

y = x + 7.

now all points except 3rd (1,7) satisfy the equation .

so data is not linear