Answer:
y = 1/2 x
Step-by-step 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
