Question

-. For each equation below, determine whether

the equation is a linear function. Select all that
apply.
a
y = 27x + 23
3x + 4y – 18 = 0
c. x2 + y2 = 25
y=*
e. x = 25y – 9
y = 25x
g. y = 0.5x2 + 10

Answer 1

Explanation:

The first answer a, is not a linear function because of the first term, 2√(x), this is basically 2(x^(1/2)) which means that it is not linear

B is linear because there are no exponents in any of the variables.

C is not linear because it forms a circle when graphed

D is linear because there are no exponents in any of the variables.

E is linear because there are no exponents in angy of the variables.

F is linear because there are no exponents in any of the variables.

G is not linear because it is a quadratic equation.

Answer 2

b 3x + 4y – 18 = 0

d y=(x-9)/7

e. x = 25y – 9

f y = 25x

Explanation:

First we can eliminate any function with either x or y to a power because that is not linear (sqrt root is a power)

a y = 27 sqrt(x)+ 23 Not linear

b 3x + 4y – 18 = 0

c. x^2 + y^2 = 25 not linear

d y=(x-9)/7

e. x = 25y – 9

f y = 25x

g. y = 0.5x^2 + 10 not linear

b 3x + 4y – 18 = 0

3x+4y = 18 is in standard form for a linear equation

d y=(x-9)/7

y = 1/7x - 9/7 is in slope intercept form for a linear equation

e. x = 25y – 9

x -25y = -9 this is in standard form for a linear equation

f y = 25x this is in slope intercept form for a linear equation