The given relation is linear. Equation of the linear function; (Y-y1)/(x-x1)= m Or Y= 1/2x +2.
A linear equation is an equation that has the variable of the highest power of 1.
The standard form of a linear equation is of the form Ax + B = 0.
Where m is the slope and c is the y intercept.
WE have given R = {(x, y) : (2,3), (4,4), (6,5), (8,6), ...}
Let's use these two points to determine both the slope and the equation;
(2, 3), (4,4)
Slope= (y2-y1)/(x2-x1)
Slope= (4-3)/(4-2)
Slope= 1/2
Then Equation of the linear function;
(Y-y1)/(x-x1)= m
(Y-3)/(x-2)= 1/2
2(y-3) = x-2
2y -6 = x-2
2y= x-2+6
2y= x+4
Y= 1/2x +2
Hence, the given relation is linear. Equation of the linear function; (Y-y1)/(x-x1)= m Or Y= 1/2x +2.
Learn more about linear equations;
https://brainly.com/question/10413253
#SPJ1
