Question

Solve the equation for y and then graph it.
16y = −10x can someone please help me with this problem and give me the steps to do it

Answer 1

16y means 16 times y

what operation undoes multiplication?

Answer 2

Division?

Answer 3

so you divide both sides by ______ to isolate y

Answer 4

Okay I do that and then I get stuck with 10x over the 16 I am confused how to isolate the x

Answer 5

you should have

\[\Large y = \frac{-10x}{16}\]

Answer 6

what is the value of y when x = 0?

Answer 7

Why is it -10

Answer 8

And I don't understand the value of y is when the x is 0

Answer 9

because the start equation is 16y = -10x

Answer 10

Plug in x = 0

\[\Large y = \frac{-10x}{16}\]

\[\Large y = \frac{-10*0}{16}\]

\[\Large y = \frac{0}{16}\]

\[\Large y = 0\]

So when x = 0, y = 0. We now know the point (0,0) lies on the line.

Answer 11

Okay being dumb here I had it written on the paper wrong

Answer 12

Can I use a -1 and a positive 1 to make three points by the same operation

Answer 13

you can use any x value you want (as long as its in the domain)

Answer 14

How do you give a medal so I can give one to you

Answer 15

you click "best response" button

Answer 16

what 3 points do you have?

Answer 17

I used -1,0,1 and I would like to know if the 16 falls off when you multiply the top

Answer 18

multiply the top by what?

Answer 19

-1,0,1

Answer 20

well in the case of x = 0, you'll have 0/16 = 0

Answer 21

I got that now its the -1, 1 that confuses me over the 16

Answer 22

with x = 1, you'll have

\[\Large y = \frac{-10x}{16}\]

\[\Large y = \frac{-10*1}{16}\]

\[\Large y = \frac{-10}{16}\]

\[\Large y = -\frac{5}{8}\]

\[\Large y = -0.625\]

Answer 23

if x = -1, then...

\[\Large y = \frac{-10x}{16}\]

\[\Large y = \frac{-10*(-1)}{16}\]

\[\Large y = \frac{10}{16}\]

\[\Large y = \frac{5}{8}\]

\[\Large y = 0.625\]

Answer 24

Okay so I used -8,0,8 and I got x=-8 y=5 first point x=0 y=0 for the second point and x=8 y=-5 for the third point I did this by dividing 16 into 80

Answer 25

those values work

Answer 26

Yay Jim Thompson you are my hero

Answer 27

I'm glad it's all clicking now

Answer 28

I might be asking you more questions lol you are a good teacher

Answer 29

The linear equation
L = −0.04t + 10
estimates the length L (in inches) of a pencil after it has been inserted into a sharpener and the handle turned a total of t times. Use the graph to estimate the length of the pencil after 250 turns of the handle

Answer 30

The linear equation L = −0.02t + 9 estimates the length L (in inches) of a pencil after it has been inserted into a sharpener and the handle turned a total of t times. Use the graph to estimate the length of the pencil after 250 turns of the handle

Answer 31

so I did -0.02(250)+9=4 is that right?

Answer 32

You should do

L = -0.04t + 10

L = -0.04*(250) + 10 ... replace t with 250

L = 0

So after 250 turns, the pencil is basically gone (turned into dust probably)

Answer 33

On the graph, you'll have the point (250,0) which is the x-intercept. The point where the graph crosses the x axis.