Question

Which equation represents the relationship between x and y shown in the table?

x | y
2 | 1
4 | 5
6 | 9
8 | 13

Answer 1

y=2x-3

Step-by-step explanation:

which equation represents the relationship between x and y shown in the table?

x | y

2 | 1

4 | 5

6 | 9

8 | 13

take a look at the values in the table one more,

we find the gradient of the line to be

G=y2-y1/(x2-x1)

G=13-1/(8-2)

slope/gradient=12/6

m=2

from equation of a line graph, we know

y=mx+c

m=gradient

c=intercept

y=vertical axis

x=a point on the horizontal axis

y=2x+c

when x=6, y=9

9=2(6)+C

c=-3

Therefore the equation becomes

y=2x-3

Step-by-step explanation: