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

Step-by-step 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.

b 3x + 4y – 18 = 0  

d y=(x-9)/7

e. x = 25y – 9

f y = 25x

Step-by-step 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

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

maybe i can