Graph the line that passes through the points (-5, 3) and (−1,−1) and determine the equation of the line.
Answers
A line can be drawn by joining the plot of the two given points
Please find attached the graph of the line created with MS ExcelThe equation of the line is y = -x - 2Reason:
Given points on the line are (-5, 3) and (-1, -1)
From the given points, the graph of the line can be plotted with MS ExcelThe slope, m, of the line is given as follows
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, we have;
[tex]Slope, \, m =\dfrac{-1 - 3}{-1 - (-5)} = \dfrac{-4}{4} = -1[/tex]
The equation of the line in point and slope form is therefore;
y - 3 = -1·(x - (-5) = -x - 5
In slope and intercept form, we have;
y = -x - 5 + 3 = -x - 2
The equation of the line in slope and intercept form is y = -x - 2Learn more here:
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Related Questions
The sum of the first 21 terms of the progression, - 18, - 15,-12.....is?
Answers
The sum of 21 terms is -1080.
What is Arithmetic Progression?A series in which the differences between each pair of following terms are the same is known as an arithmetic progression.An arithmetic progression is a sequence in which every phrase—aside from the initial term—is created by multiplying the previous term by a predetermined amount.given:
- 18, - 15,-12.....
First term, a= -18
common difference, d= -15 + 18= -3
So, [tex]S_{21[/tex] = 21/2 [ 2(-18)+ (21- 1) (-3)]
[tex]S_{21[/tex] = 21/2 [ -36 + (20) (-3)]
[tex]S_{21[/tex] = 21/2 [ -36 - 60]
[tex]S_{21[/tex] = 21/2 (-96)
[tex]S_{21[/tex] = 21 x (-48)
[tex]S_{21[/tex] = -1008
Hence, the sum of 21 terms is -1080.
Learn more about Arithmetic progression here:
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What angle relationship is demonstrated by x and y?
Answers
Answer:
corresponding angles
Step-by-step explanation:
x and y are in the same position in relation to the lines. They are to the right of the transversal and above the horizontal lines.
This means they are corresponding angles
Isosceles triangles may be obtuse or acute but never right.
A. True
B. False
Answers
The slope of ( 3, 5 ) with ( 4, 6 )
Answers
[tex]\sf 10\times 5\times 11[/tex]
Answers
Answer:
[tex]\sf\longmapsto \: 550[/tex]
Step-by-step explanation:
[tex]\sf\longmapsto \: 50 \times 11[/tex]
[tex]\sf\longmapsto \: 550[/tex]
Answer:
[tex]\sf 550[/tex]
Step-by-step explanation:
[tex]10 \times 5 = 50 \\ [/tex]
[tex]50 \times 11 = 550[/tex]
The length of a rectangular sign is 5 times its width. If the sign’s perimeter is 24 inches, what is the sign’s area The sign's area is ___ square inches.
Answers
The sign's area is 80 square inches.
A rectangle is a quadrilateral. This means that a rectangle has four sides.
The area of a rectangle = length x width
Perimeter of a rectangle = 2 x ( length + width)
Let the width of the sign be represented with w
The length of the sign is 5x
Substitute these dimensions into the formula for the perimeter of a rectangle.
(x + 5x) = 24
6x = 24
x = 24/6
x = 4 inches
The length is 5 x 4 = 20 inches
Area of the sign = 20 x 4 = 80 inches²
To learn more about the perimeter of a rectangle, please check: brainly.com/question/18793958?referrer=searchResults
Fred is N years old. Michael is six years younger than Fred and two years older than Chris. What is the sum of the three ages?
Answers
Let's first determine Jim's age and Sam's age FOUR YEARS AGO
If 2x = Jim's age TODAY, then 2x - 4 = Jim's age FOUR YEARS AGO
If x - 2 = Sam's age TODAY, then x - 2 - 4 = Sam's age FOUR YEARS AGO
Four years ago Jim was 4 times as old as Sam.
In other words, the value of 2x - 4 is 4 times the value of x - 2 - 4
So, we can write: 2x - 4 = 4(x - 2 -4)
Simplify right side: 2x - 4 = 4(x - 6)
Expand right side: 2x - 4 = 4x - 24
Add 24 to both sides: 2x + 20 = 4x
Subtract 2x from both sides: 20 = 2x
Solve: x = 10
How old is Jim NOW?
2x = Jim's age TODAY
Since x = 10, we know that Jim's age = 2(10) = 20
7. Write the equation of the line that is perpendicular to y = -5x + 1 and passes through the point (2,-1). slope intercept equation
Answers
Answer:
y = 1/5x - 7/5
Step-by-step explanation:
y = 1/5x + b
-1 = 1/5(2) + b
-1 = 2/5 + b
-7/5 = b
please help me it's an 8 grade question
Answers
PLZ HELP!
Add.
−16 + (−29) + 49 =
4
62
94
Answers
Answer:
4 is the answer
Step-by-step explanation:
have a nice day :)
Answer:
4
Step-by-step expla
how to find the mean for negative numbers
Answers
You can find the mean of negative numbers just the same as for positive numbers. It doesn't hurt for the mean to be negative.
For example, with the number -9, -5, -4, -3, -1 you can find the mean jsut as any other numbers
-9+-5+-4+-3+-1=-22
-22/5=-4.4
the mean for those set of numbers is -4.4
The ratio of boys to girls in Mrs. Townsend's class is 3:4. If there are 15 boys in her class, how many students does Mrs. Townsend have in her class altogether?
Answers
Answer:
There should be 35 student in her class altogether.
According to the U.S. Geological Survey, there are over 300,000,000 cubic miles of water on the planet. How this number represented in scientific notation
Answers
Answer:
3.00x10^8
Step-by-step explanation:
So you want to make sure the number before the x10^ is beween 10 and 0 not including 10 and 0. So 1.00-9.99.
Move the demcil place up in 300,000,000 till your first number is between 1 and 9.99.
Then count how many places you moved it up, in this case 8
Add the amount of times you moved up to the x10^(in this space).
you answer is now 3.00 plus the x10^8
3.00x10^8
If we know a quadratic function has a zero at x=-1 and vertex at (1,4) do we have enough information to find a formula for this function? If your answer is yes, find it; if not, give your reasons.
Answers
15
The fraction 15 is the same as 15 divided by ___
Answers
Answer:
If its just 15 then its 1
Step-by-step explanation:
Because 15 divided by 1 is 15 which is the fraction.
Answer:
Below,...!
Step-by-step explanation:
15 is not a fraction as is you can put any number over a one and that whole number immediately becomes a fraction:
[tex]\frac{7}{1} or \frac{43}{1} or \frac{987}{1} or \frac{1}{1} or \frac{15}{1}[/tex]
15/1 is your fraction so 15/1 divided into 15 equals 1
[tex]\frac{15}{1} / 15 = 1/1 = 1[/tex]
Answer: 1
Chow,...!
Write an equation of the form y=kx for the relationship shown in the graph.
Answers
Answer:
28 = 8k
Step-by-step explanation:
(x,y)
so (8,28)
y = kx is a direct proportional formula.
28 = 8k
What is the value of x?
Answers
Answer:
x=50
Step-by-step explanation:
2x+20=3x-30
2x-3x=-x
20+30=50
-x+50=0
-x=-50
x=50
Can y’all help with 5 and 6 please !
I don’t know why I don’t get it-
Answers
6= 4
Pretty sure
y27
=yg
What is the answer to this question
Answers
Answer:
y³
Step-by-step explanation:
the answer should be three as 27÷3 is 9 the end product..
mark me brainliest
Some more help please I need it
Answers
i dont know
Step-by-step explanation:
I JUST NEED THW POINTS
please help me Thank you
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Given statement :
Jayson planted 3 rows of seedlings in pots. Each row had 12 seedlings.
now, let's Answer the questions asked :
1. How many seedlings did he planted in all ?
3 × 12 36 seedlings2. What did Jayson plant in pots ?
He planted seedlings in the pots3. How many rows of seedlings are there ?
There were 3 rows of seedlings4. How many seedlings does each row have ?
Each row have 12 seedlings5. What is asked in the problem ?
The term asked in the problem is to find the total number of seedlings planted in all.6. How can we mentally find the answer to the problem ?
We can find the answer by multiplying the number of rows of seedlings by total seedlings in each row.that is :
3 × 1236it takes a snail 10 seconds to move 1 centimeter. How far does snail travel in 2 seconds
Answers
Answer:
0.2
Step-by-step explanation:
If it takes 10 seconds to move 1 centimetres, and you want to know about 2 seconds, you can divide by 5 on both sides.
1/5 = 0.20
It takes 2 seconds to move 0.2 centimetres (aka 20 milimetres).
The snail will travel 0.2 centimetre in 2 seconds.
it takes the snail 10 seconds to move 1 centimetre. The means in every 10 seconds the snail moves 1 centimetre.
The distance the snail can cover in 2 seconds can be computed below:
10 seconds = 1 cm
2 seconds = ? cm
cross multiply
distance it takes the snail to travel in 2 seconds = 2 / 10
distance it takes the snail to travel in 2 seconds = 1 / 5
distance it takes the snail to travel in 2 seconds = 0.2 cm
Therefore, the snail will travel 0.2 cm in 2 seconds .
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Which of these sets of angle measures could be the three angles in a triangle? a 40, 50, 60 b 50, 60, 70 c 60, 70, 80 d 70,80, 90
Answers
Answer:
It’s going to be B. 50+60+70=180 which is how many degrees are in a triangle.
Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2
Answers
Answer:
the lines are perpendicular they cross each other in a 90* angel
Step-by-step explanation:
WILL GIVE BRAINIEST What is the solution set to log(x+4) < log6 x
Answers
It is B.
the question is so tough
Plz help it’s due tonight!!!
Answers
Which number is equivalent to 24 ⋅ 73 ⋅ 2 ⋅ 7−4?
Answers
Answer:
24524
Step-by-step explanation:
Use the order of operations to solve
Answer:
32/7 or 32
----
7
Step-by-step explanation:
this is for trustmeiamsmart
hurry plzzzzzzzzzzzzzz
Answers
Answer:
distance between a and b is 1
distance between b and c is 3
distance between b and a is 1
6,-3
2-,5
-10,-3
-2-11
3
Answer:
Lol question for me only
Real Answer:
A and B = 1
B and C = 3
B and A = 1
Four points that are four points
6,-3
-2,5
-10,-3
-2,-11
Distance between some points
3
Factor completely 16x4 − 81.
Answers
Answer:
-17
Step-by-step explanation:
Factor the polynomial.
-17
If a rock was thrown at t-2.23tp and hits its height at 1.56 meters what was the height of the tower?
Answers
Answer:
t = 4.875 s
h(4.875) = 686.25 ft
t ≈ 11.424 s
Step-by-step explanation:
These questions are more easily answered if the equation is written in vertex form. Subtracting the constant and dividing out -16, we get ...
h(t) -306 = -16(t^2 -9.75t)
Adding the square of half the t-coefficient inside parentheses gives ...
h(t) -306 -380.25 = -16(t^2 -9.75t +23.765625)
h(t) = -16(t -4.875)^2 + 686.25
This tells us the maximum height is 686.25 ft at time t = 4.875 seconds.
__
When the rock hits the ground, h(t) = 0, so ...
0 = -16(t -4.875)^2 + 686.25
686.25/16 = (t -4.875)^2 . . . . . subtract 686.25, divide by -16
√42.890625 +4.875 = t ≈ 11.424 . . . . take the square root, add 4.875
The rock hits the ground after about 11.424 seconds.