Question

An elephant’s
tusks grow throughout its life.
Each month, an elephant tusk
grows about 1 cm. Suppose
you started observing an
elephant when its tusks were
12 cm long. Write an equation
in point-slope form that
describes the length of the
elephant’s tusks after m months
of observation.

Answer 1

I need help!

Answer 2

y-y = m(x-x) point slope

Answer 3

How do you solve it using that formula?

Answer 4

Give me a sec

Answer 5

Okay.

Answer 6

They give you the rate of change, the slope m as 1 cm/month
They also give you one data point, when time is 0 months , and length is 12 cm
(x,y)=(0,12)

Answer 7

So, what will the equation be?

Answer 8

I still don't understand.

Answer 9

@Brian42 do you know?

Answer 10

y-12 = x

Answer 11

or Y-12=1(x-0)

Answer 12

slope m=1
point (x1,y1)=(0,12)

y-y1=m*(x-x1)

Answer 13

thats the formula for the point slope form of a line
I believe the equation to find the length of the elephant's tusk is y-12=1(x-0), which is the same as y-12=x, where is the number of months

Answer 14

x*

Answer 15

Thanks, I have another question:
What is the point-slope form of a line with slope 3/ 4x that passes through the point (16, 5)?

Answer 16

after 1 month y-12 = 1 which means the elephant's tusk would be 13 cm
after 2 months y-12 = 2 which would be 14 cm

Answer 17

(Y-5) = 3/4(x-16)

Answer 18

Show me your work.

Answer 19

lol (16,5) = (X,Y) and the point slope form is Y-Y1 = M(X-X1)
M = the slope 3/4

Answer 20

One last question,

Use the point-slope form of the equation
y 6 8(x 1). What is the y-value of the y-intercept?

Answer 21

you have to retype that. Not sure what that is.

Answer 22

*y-6=8(x+1)

Answer 23

to find the y intercept set x = 0
Y-6 = 8x+8
Y = 8x+14

Answer 24

Thanks so so much!!