Question

Write the equation for the following relation. R = {(x, y): (4, 5), (8, 7), (12, 9), (16, 11), . . .} and show work

Answer 1

Let

A(4,5) B(8,7) C(12,9) D(16,11)

1) Find the slope AB

m=(y2-y1)/(x2-x1)

m=(7-5)/(8-4)=0.5

2) Find the slope BC

m=(9-7)/(12-8)=0.5

3) Find the slope CD

m=(11-9)/(16-12)=0.5

The points represent a linear function

so

Find the equation of the line with m=0.5 and the point A(4,5)

we know that

y-y1=m*(x-x1)

y-5=0.5*(x-4)

y=0.5*x-2+5

y=0.5*x+3

therefore

the answer is

The equation is equal to y=0.5*x+3