Which equation represents a linear function? A) x = y2

B) y – 2 = x2 + 5x

C) y = x3 + 1

D) 5x + 6y = 12

D) 5x + 6y = 12

Step-by-step explanation:

x = y^2 is Not Linear (Find the degree of the equation to determine if linear.)

y - 2 = x^(2) + 5x is Not Linear (Find the degree of the equation to determine if linear.)

y = x^(3) + 1 is Not Linear (A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 3.

5x + 6y = 12 is Linear (Find the degree of the equation to determine if linear.)

15.5

step-by-step explanation:

5

∑

n = 1

substitute n = 1, 2, 3, 4, 5 and sum the terms

= + + + 2² + 2³

= 0.5 + 1 + 2 + 4 + 8

= 15.5