Question

X 2/4/8/10/16
Y 12458
O y= 2 x
O y=1 x
O y=x-1
Oy= x=2

Answer 1

y = 1/2 x

Explanation:

Given the table

X 2//4//8//10//16

Y 1//2//4//5//8

We are to find the equation that represent the table

Using the coordinates of x and y components from the table (2, 1) and (4, 2)

The standard expression for the equation is expressed as y = mx+c

m is the slope

c is the y-intercept

Get the slope;

m = y2-y1/x2-x1

m = 2-1/4-2

m = 1/2

Get the intercept c:

Substitute the point (2, 1) and the slope m = 1/2 into the expression y = mx+c

1 = 1/2(2) + c

1 = 1+c

c = 1-1

c = 0

Get the required equation

Recall that: y = mx+c

y = 1/2 x + 0

y = 1/2 x

Hence the required equation is y = 1/2 x