Answers
y = mx + b
y = mx + 100
How to find "m" or slope:
(0,100) and (20,400)
m = (y2 - y1) / (x2 - x1)
(400 - 100) / (20 - 0)
=> 300 / 20
=> 15
so
y = 15x + 100
The linear equation in slope-intercept form that the graph represents is [tex]y = 15x + 100[/tex]
The slope-intercept form of an equation is expressed as:
[tex]y = mx + b[/tex]
where,
m is the slope of the graph
b is the initial value or y-intercept
To find the linear equation, determine the values of the slope (m) and the y-intercept.
Slope (m) of the graph using two points on the line, [tex](0, 100)[/tex] and [tex](5, 175)[/tex]:
[tex]Slope=\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let,
[tex](0,100) = (x_1, y_1)\\(5, 175) = (x_2, y_2)[/tex]
Plug on the values into the formula:
[tex]slope(m)= \frac{175 - 100}{5-0} \\= \frac{75}{5} \\Slope (m)= 15[/tex]
y-intercept (b) of the linear graph:
The y-intercept is the initial value or the point at which the line intercepts the y-axis.
The line intercepts the y-axis at [tex]y=100[/tex]
Therefore, y-intercept is 100
[tex]b = 100[/tex]
To write the linear equation in slope-intercept form, substitute [tex]m = 15[/tex] and [tex]b = 100[/tex] into [tex]y = mx + b[/tex]
Thus:
[tex]y = 15x + 100[/tex]
The linear equation that represents the graph in slope-intercept form is [tex]y = 15x + 100[/tex]
Learn more about linear equation here:
https://brainly.com/question/12933778
Related Questions
Bella has a stack of three cards numbered 1, 2 and 3. She flips a card, puts in back the back stack, and flips another card. What is the sample space and possible outcomes of flipping cards from the stack two times?
Answers
Answer: The probability that both cards that are drawn are hearts is
1
17
.
Explanation:
First off, know that there are 13 heart cards in the deck of 52 cards. Therefore, the chance of pulling a single heart card is
13
52
. Let's say we do pull a heart card. Since there is no replacement for the heart card taken out of the deck, we now have 12 heart cards out a deck of 51 cards. The chance of pulling out a heart card in now
12
51
. To find the probability that both cards drawn out are hearts, multiply the two fractions together:
(
13
52
)
⋅
(
12
51
)
=
156
2652
=
1
17
.
Step-by-step explanation:
(4x - 6)
(2x)
Find the value of x
Answers
Answer:
1.5
Step-by-step explanation:
(4x - 6) (2x)
= 8x^2 - 12x
8x^2 = 12x
8x = 12
2x = 3
x = 1.5
What property is used to show that 3(4 – 6) = 12 – 18?
Distributive Property
Associative Property
Commutative Property
Subtraction Property
Answers
Answer:
Distributive Property
Step-by-step explanation:
Answer:
Distributive property
Step-by-step explanation:
a(b-c)= (a×b) - (a×c)
3(4-6)=(3×4) - (3×6)
= 12 - 18
I’ll give Brinley stars if I get help
A flying squirrel lives in a nest that is 12 feet up in a tree, but wants to
eat an acorn that is on the ground 9 feet away from the base of his tree.
If the flying squirrel glides from his nest to the acorn, then scurries back
to the base of the tree, and then climbs back up the tree to his nest,
how far will the flying squirrel travel in total?
Answers
At the first stop, 17 people
got off the bus. Now there
are 35 people on the bus.
How
mony were on the
bus to begin win?
Answers
Answer:
There were 52 people on the bus to begin with.
Step-by-step explanation:
If 17 people got off and 35 were remaining then you have to add 17 + 35 = 52
Answer:
17+35=52
Step-by-step explanation:
AT BEGNING THERE WERE 52 people on bus so when the 17 people got off the bus on first stop only 35 remained.
How long should that board be to the nearest hundredth of a foot
Answers
Answer:
Board foot calculator determines the volume of lumber in board footage. ... The length of the wooden board should be expressed in feet, while the width ... For example, a piece of hardwood can be 8 feet long, 10 inches wide, and 1.25 ... Measure the length of it in feet, rounding to the nearest decimal pla
If 64 is added to a number, the result is 40 less than three times the number. Find the number.
Answers
Answer: 52
Step-by-step explanation:
[tex](x+64)+40=3x\\x+64+40=3x\\x+104=3x\\104=2x\\ 52=x[/tex]
Checking my work:
[tex]52*3=156\\\\52+64=116\\116+40= 156[/tex]
Find the length of AB and AC. please help...
Answers
Answer:
AB=30
AC=22.5
Step-by-step explanation:
8/15=12/x
x=22.5 (AC)
8/15=16/x
x=30 (AB)
6x-8y=-38,5x+12y=99
what is I need some help
Answers
Answer:
x=3, y=7. (3, 7).
Step-by-step explanation:
6x-8y=-38
5x+12y=99
------------------
5(6x-8y)=5(-38)
-6(5x+12y)=-6(99)
------------------------
30x-40y=-190
-30x-72y=-594
----------------------
-112y=-784
112y=784
y=784/112
y=7
5x+12(7)=99
5x+84=99
5x=99-84
5x=15
x=15/5=3
Find the value of x in the equation below.
6x=24
Answers
Answer:x=4
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
6x = 24
(6x ÷ 6) = (24 ÷ 6)
x = 4
Given G(x) = -3/2x-9, if g(x) = -48, find x.
Answers
Answer:
X= 4.53
Step-by-step explanation:
You'll input g(x)= -48 into the equation then solve From there
16x+40y= ?
Pls help i will give u brainliest
Answers
16=2 times 2 times 2 times2
40=2 time 2 times 2 times 5
common is
2 times 2 itmes 2=8
reverse distribute
ab+ac=a(b+c)
16x+40y=8(2x+10y)
8(2x+10y)
Answer:
8(2x+5y)
Step-by-step explanation:
i used s y m b o l a b *hope this helps :)
how many 1/4 inch cubes does it take to fill a box with width 1 1/4 inches, length 3 3/4 inches and height 2 1/4 inches?
Answers
Answer: 125 cubes
Step-by-step explanation: In each side first layer for the width, 11 cubes can fit. Sine 1/4 can fit in one 4 times, 4 * 3 = 12. 12 plus 2 (2/4=1/2) is 14.
11 + 14 = 25.
25 is one layer. Since the height is 1 1/4 inches, multiply 25 by 5.
Answer: 675
Step-by-step explanation: the dimensions of the box are 5 1/4 inch cubes x 15 1/4 inch cubes x 9 1/4 inch cubes
5 x 15 x 9 = 675 cubes
Which of the following is an arithmetic sequence?
n
1
-1
2
3
3 4
-3-1
an
n
1
2
2
-2
3 4
6 -10
an
n
1
3
ON
3
9
4
15
an
n
1
4
2
14
3 4
24 32
an
Answers
Answer:
B
Step-by-step explanation:
Answer:
b on edge
Step-by-step explanation:
1 2/3 + (-2/5)
What is the answer
Answers
Answer:
1 4/15
Step-by-step explanation:
witch one is correct hellllppp
Answers
Answer:
D
Step-by-step explanation:
'but' is a conjunction
Which phrase is the same as 5+w?
Answers
Answer:
5+w
Step-by-step explanation:
can someone please help me in this.
Answers
Explanation:
-14/2=-7
x^2/x=x
y^4/y=y^3
z^5/z^3=z^2
30 out of 600=____ %
Answers
Step-by-step explanation:
let % be X
30 = x% of 600
30 = x × 600 / 100
x = 30 × 100 /60
x = 5
follow me
1 2/3 + (-2/5)
Math homework homework math
Answers
1 4/15
1x3+2/3 - 2/5
3+2/3 - 2/5
5/3 - 2/5
LCD = 15
5x5/3x5 - 2x3/5x3
25/5 - 6/15
25-6/15
19/15
1 4/15
Answer:
1.26666666667
Question 1 of 10
Which of the following is most likely the next step in the series?
Answers
Answer:
The second one.
Step-by-step explanation:
The pattern is red with 0 arrows, blue with 1 arrow, red with 2 arrows, so it would be blue with 3 arrows.
is there a difference between a prisoner and a student when it comes to freedom
Answers
Answer:
For my opinion, it is a yes
Explanation:
there is a difference since most students may experience stress when in terms in acads but if we realized something that when we grow older, we have our limits from the ones in childhood.
Students can play and do whatever they want. they aren't limited with the places and the capacity they have as a child
but for prisoners, it will be harsh mostly when it comes to money since being a prisoner will cost much to the government to let you free.
That is only FOR MY OPINION. I'm sorry if it isn't accurate.
Answer:
Yes for me
Step-by-step explanation:
Cause prisoner will be free years or month, student is different to prisoner cause prisoner will not do homework, activities, and never experience outdoor. It depend how you feel or act so goodluck and be safe✨
Rules of solving equations
The ______________ must be alone or ______________ on one side of the equation.
Isolate the variable by using ______________or opposite operations.
The equation must remain ______________.
Answers
Answer:
The variable must be alone or isolated on one side of the equation.
Isolate the variable by using inverse or opposite operations.
The equation must remain balanced.
Explanation:
Let me just make sure!
What are the terms or 8x+6
Answers
Answer:
14x. ....................
-7x — '8y = -12
4х – бу = 28
Pls help it’s due tomorrow!
Answers
Answer:
x=4 and y=−2
Step-by-step explanation:
1. 3(−7x−8y=−12)
−4(4x−6y=28)
2. −21x−24y=−36
−16x+24y=−112
3. divide
4. Substitute 4 for x in−7x−8y=−12:
(−7)(4)−8y=−12
5. −8y−28+28=−12+28
divide 8 to 16
y=-2
Answer:
(4, -2)Step-by-step explanation:
Given system:
-7x - 8y = -12 4х - 6у = 28Simplify the second equation:
2x - 3y = 14Solve the system by elimination, multiply the first equation by 2 and the second equation by 7 and add up. Solve for y:
-7x(2) - 8y(2) + 2x(7) - 3y(7) = -12(2) + 14(7)-16y - 21y = -24 + 98-37y = 74y = -74/37y = -2Find x using the second equation:
2x - 3(-2) = 142x = 14 - 62x = 8x = 4Solution is (4, -2)
What is 7x2-4+6x3-4x-x4 is standard form
Answers
Answer:
-x^(4)+6x^(3)+7x^(2)-4x-4
Step-by-step explanation:
Answer:
-x^2 + 6x^3 +7x^2 -4x-4
Step-by-step explanation:
Find the measure of angle 4 and explain.
Answers
FIND THE LENGTH OF AB.
Answers
Answer:
b. about 9.4 units
Step-by-step explanation:
use the distance formula:
d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.
x1=4, x2=9, y1=2, y2=10
so d=√((9-4)²+(10-2)²)
d=√((25)+(64))
d=√89
d= about 9.4
In ΔWXY, x = 1.2 cm, ∠X=45° and ∠Y=108°. Find the length of w, to the nearest 10th of a centimeter.
Answers
Answer:
w = 0.8cm
Step-by-step explanation:
3) Rita has 3/4 m of Ifugao cloth. She used 2/3 m for placement. What part
of Ifugao cloth was left.
Answers
Answer:
[tex]Unused = \frac{1}{12}m[/tex]
Step-by-step explanation:
Given
[tex]Total= \frac{3}{4}m[/tex]
[tex]Used= \frac{2}{3}m[/tex]
Required
Determine the part left
The part left is calculated using:
[tex]Used + Unused = Total[/tex]
[tex]Unused = Total - Used[/tex]
[tex]Unused = \frac{3}{4}m - \frac{2}{3}m[/tex]
Take LCM
[tex]Unused = \frac{9m - 8m}{12}[/tex]
[tex]Unused = \frac{1m}{12}[/tex]
[tex]Unused = \frac{1}{12}m[/tex]