Lila planted a tree in her backyard. She made a graph to show the tree growth over 5 years.

1) What does the slope mean in real life in the context of the problem?

2) What does the y-intercept mean in real life in the context of the problem?

Answer in complete sentences.

Answer:

1. Growth rate of tree 3 ft per year, 2. Beginning height of tree 5 feet, rise/run = 3/1 = 3

Step-by-step explanation:

The solution is

1) The slope of the graph m = 3 represents the growth of the tree per year

2) The y-intercept means the initial height of the tree , when x = 0

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P = P ( 3 , 14 )

Let the second point be Q = Q ( 1 , 8 )

Now , the slope of the two points on the line is given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 14 - 8 ) / ( 3 - 1 )

Slope m = 6/2

Slope m = 3

Therefore , the slope is 3 feet per year

b)

The y intercept is calculated from the equation of line , when x = 0

So , the equation of line is given as

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 14 = 3 ( x - 3 )

On simplifying the equation , we get

y - 14 = 3x - 9

Adding 14 on both sides of the equation , we get

y = 3x + 5

Now , when x = 0

y = 3 ( 0 ) + 5

y = 5 feet

From the graph we can see that , at 0 years the initial height of the tree is also 5 feet

Therefore , the y intercept is 5 feet

Hence , The slope of the equation is 3 and y intercept is 5

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

omg please i need help this is worth sm pointssss PLEASE BESTIES

Shameka buys a blue garden hose that is 16.5 feet long and a green garden hose that is 14.75 feet long. How many feet of garden hose does she buy?

Help please?​

given the function f(x)=3x-5, for which value in the domain does f(x)=-38?

15 points!!! Please help with math

Can someone help me with this please.

Which expressions are equivalent to -56z+28?
A.) 1/2⋅(-28z+14)
B.)(-1.4z+0.7) x 40
C.) (14-7z)⋅(-4)
D.)(8z−4)(−7)
E.)−2(−28z−14)
PLEASE HELP THANK YOU!!!

Determine the intercepts of the line

Fifty people are standing in line for a ride. Every three minutes, 20 people get on the ride, but 35 more people get in line. After one hour, how many people are in line?

the school parking lot has a surface area of 841 square meters and is square in shape calculate the length of one side of the parking lot

At a point on the ground 50 feet from the foot of a tree, the angle of elevation to the top of the tree is
53. What is the height of the tree rounded up to the nearest hundredth.

Qui est grand 0 ou -2,5

(03.01)
Is the following relation a function? (1 point)

x y
1 −2
1 −3
2 1
3 −2

Yes
No

pls help me with this:((((​

1. If y varies directly as x, and y=8 when x=4. Find y when x=10, the constant of variation and the equation of variation.

2. If y varies directly as x, and y= 0.9 when x= 0.3. Find y when x= 1.5, the constant of variation and the equation of variation.

3. If y varies inversely as, and y= 10 when x=1/2. Find x when y= 3, the constant of variation and the equation of variation.

4. If v varies jointly as w and u, and v=14 when w=7 and u=13. Find v when w=3/4 and u=6, the constant of variation and the equation of variation.

5. If m varies directly as n and inversely as p and m=9 when n=2 and p=1/3. Find m when n=1/2 and =1/3, the constant of variation and the equation of variation.​

find the midpoint of CD with C(-4,5) and D(-1,-4).

3. Mama has her opinions about things concerning Walter. Determine which statements are TRUE/FALSE about what Mama thinks.

Find the equation of the line shown.
у
10
9
8
7
6
5
4
3
2
N
O
Х
1 2 3 4 5 6 7 8 9 10

10 points
13 Jake has a wooden board that measures
8.25 feet long. He cuts the board into
pieces that each measure 0.75 feet so
he can make signs. If Jake earns $15.95
for each sign he sells, how much money
can he earn from the signs he makes
from this board?
a
Your answer

3. Suppose Natalie put $2,400 in the bank for 5 years. She makes $9.20 in interest
every month. What is the annual interest rate?

Find the 44th term in the following
arithmetic sequence :
2, 3, 4, 5, ...
Hint: Write a formula to help you.
1st term + common difference(desired term - 1)

Which inequality is graphed on the number line?

Number line from 0 to 10. Start at 0. Count up by 1. Point t is depicted by an arrow from 6 to 0
A. t > 9
B. t < 0
C. t < 6
D. t > 6

Question 2
1 pts
Directions: Include the inequality symbol and solution. If you need less than or equal
to, use "<" and for greater than or equal to use ">".
A taxi charges a flat rate of $7.50 plus an additional $0.35 per mile. If Aliana has at most
$25 to spend on the cab ride, how far could she travel?
She could travel

what is the solution
3x-1/4 = -5/11
(3x-1)11 = -5(4)
33x-11 = -20
+11 = +11
33x = - 9
33x/33 = -9/33
x = -3/11

❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤

Suppose the length and width of a 6 by 10 sandbox is doubled. Find the percent change in the perimeter. Find the percent change in the area

Help me plz
A)12.7
B)13.3
C)12.4

Sara has a cell phone plan that charges $2 per minute for her long distance calls to Italy. She also has a pay a flat fee of $10 each month to have this plan, no matter how many minutes she talks on the phone. If Sara talks for 20 minutes long distance this month, how much money does she have to pay in total? Show work that supports your response.

Answer this please!!!

M<2= x+49 (geometry)

Plsssss help me this needs to be done ASAPPP