Question

Which of the following has a graph that is a straight line?

Equation 1: y = 4x3 + 6

Equation 2: y = 5x - 4.5

Equation 3: y2 = x - 1

Equation 4: y = 2x2 + 6

Answer 1

All except eq.3

Answer 2

1 and 4 do not assuming that 4x3 = 4x^3 and 2x2 = 2x^2

Answer 3

so would it be 2?

Answer 4

both 2 and 3 make straight lines, but have different slopes. Can you double check those to make sure you typed them correctly?

Answer 5

I copy and pasted them

Answer 6

okay wait I missed the y^2 that makes a circle I believe so yes 2 would be correct .

Answer 7

1 is supposed to be Y= 4X^3+6

Answer 8

2 is Y=5X-4.5

Answer 9

3 is y^2=x-1

Answer 10

and 4 is y=2x^2+6

Answer 11

1 is a cubic so not a straight line
2 is a straight line
3 is a circle
4 is a parabola

Answer 12

Thank you!!

Answer 13

Can you help mewith two more?

Answer 14

me with*

Answer 15

I missed the Y^2 in 3 originally. No problem! =)

Answer 16

sure

Answer 17

Which statement best explains whether the table represents a linear or nonlinear function?

Input Output
0 1
1 2
2 4
3 16
It is a linear function because there is a constant rate of change in both the input and output values.

It is a nonlinear function because there is a constant rate of change is both the input and output values.

It is a linear function because the output values are increasing at different rates.

It is a nonlinear function because the output values are increasing at different rates.

Answer 18

hmm it is definitely linear because the values only increase. I am thinking it is th first one

Answer 19

One second let me develop an equation for this table

Answer 20

I was wrong it is not linear because the slope is changing.

Answer 21

so it would be the fourth one

Answer 22

That table would make a quadratic I believe.

Answer 23

Ok last one...

Answer 24

Which of the following ordered pairs could be placed in the table below and still have the relation qualify as a linear function?

Input Output
−5 7
−3 15
−1 23
? ?


(0, 31)

(−7, 30)

(1, 31)

(0, −1)

Answer 25

Since the slope changes between the points it means that there must be and x^n in the equation and n cant = 1 which means it is not linear. Slope = rate of change.

Answer 26

does that make sense?

Answer 27

so the points are:
(5,7)
(3,15)
(1,23)

So we need to develop an equation for these points
7-15 -8
---- = ---- = -4
5-3 2

So the slope is -4

y-7=-4(x-5)
y-7=-4x+20
y=-4x+27

using that equation however none of the points given work
they are:
(0,31)
(7,30)
(1,31)
(0,1)
correct?

Answer 28

@wabbitshark those are wrong! I just used them and I got a D on my test LOL :(