Drag numbers to write an equation for the line in slope-intercept form. Numbers may be used once, more than once, or not at all.
Graph of a diagonal line with x-axis and y-axis. A line is passing through co-ordinates (0,5) and (2,-3).
Answers
Answer:
y = -4x + 5
Step-by-step explanation:
Here, we want to get the equation of the line that passes through the given points
The general form is;
y = mx + b
where m is the slope and b is the y intercept
To find the slope, we use the slope formula
this is ;
m = (y2-y1)/(x2-x1)
(x1,y1) = (0,5)
(x2,y2) = (2,-3)
m = (-3-5)/(2-0) = -8/2 = -4
To get the y-intercept we simply substitute one of the points
But we know that the y-intercept is the y-value when x = 0
From the point we can see (0,5) which means that the y-intercept is 5
so the equation of the line is;
y = -4x + 5
The equation of the graph in slope intercept form is y = -4x + 5
Using slope intercept equation
y = mx + b
where
m = slope
b = y- intercept
Therefore,
Let's take 2 coordinates to get the slope.
(1, 1)(0, 5)
y-intercept = 5
Therefore,
m = 5 - 1 / 0 - 1 = - 4
y = -4x + 5
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Related Questions
A bear cub weighed 10 pounds. Each month it gains 5 pounds. Which equation correctly shows this linear relationship.
A.Y=5x +10
B.Y=10x +5
C.Y=5x-10
D.Y=10x-5
Answers
Answer:
A. Y = 5x + 10
Step-by-step explanation:
The bear gains 5 pounds a month. The X represents the months in which five pounds gradually build. This is represented by 5x. We need to add the bears original 10 pounds so Y = 5x + 10.
Answer:
a is the answer I did dat before
100 POINTS! SOLVE FOR X. PIC ATTACHED. Random answers will be reported.
Answers
Answer:
x = 29Step-by-step explanation:
The angles (2x- 10) and (4x+ 16) are consecutive interior angles and therefore are corresponding
Corresponding angles sum to 180
(2x - 10) + (4x + 16) = 1806x + 6 = 1806x = 174x = 174/6x = 2995% of 15
i need help
Answers
Answer:
14.25
Step-by-step explanation:
im sorry im bad at explaning
I need to find the resultant matrix
Answers
the answers are there
i hope it will help you
Write an equation for the line in standard form
Answers
Answer:
The equation of the line in standard form is y = -1/2·x - 3
Step-by-step explanation:
From the given graph, the "x" and "y" coordinates points through which the line of the graph passes are;
(-4, -1), (-2, -2), and (2, -4)
The slope, m, of the graph is given as follow;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, by substituting the values of the coordinates for two known points, we have;
[tex]Slope, \, m =\dfrac{(-4) -(-1)}{2-(-4)} = \dfrac{(-4) + 1}{2+4 } = \dfrac{-3}{6} = -\dfrac{1}{2}[/tex]
The slope of the graph, m = -1/2
The equation of the graph on point and slope form is given as follows;
y - (-4) = -1/2(x - 2)
y = -x/2 + 1 - 4 = -x/2 - 3
The equation of the line in standard form, y = m·x + c is y = -1/2·x - 3.
help me please quickly
Answers
Answer:
(1) 4
Step-by-step explanation:
Isolate x.
[tex]\frac{x-2}{3}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{5}{6}[/tex]
[tex]\frac{x-2}{3}[/tex] = [tex]\frac{5}{6}[/tex] - [tex]\frac{1}{6}[/tex]
[tex]\frac{x-2}{3}[/tex] = [tex]\frac{2}{3}[/tex]
[tex]\frac{x-2}{3}[/tex] × 3 = [tex]\frac{2}{3}[/tex] × 3
x - 2 = 2
x = 2 + 2
x = 4
A 2.5-kg bag of flour contains enough flour to make 4 cakes. a) How much flour is needed to make 50 cakes?
Answers
Answer:
31.25 kg of flour is needed to make 50 cakes
Step-by-step explanation:
A 2.5-kg bag of flour contains enough flour to make 4 cakes. a) How much flour is needed to make 50 cakes?
We can find it by using unitary method i.e first find quantity of flour needed for 1 cake and then we can find quantity of flour needed for 50 cakes.
Flour needed to make 4 cakes = 2.5 kg
Flour needed to make 1 cake = [tex]\frac{2.5}{4}[/tex] kg
Flour needed to make 50 cakes = [tex]\frac{2.5}{4}\times 50[/tex]
= 31.25 kg
So, 31.25 kg of flour is needed to make 50 cakes
What is the domain of this relation?
Answers
Answer:
{-3, 3, 5, 9}
Step-by-step explanation:
The domain is simply the inputs (x) used in the function.
Answer:
{-3,3,5,9} this is answer
please help super confused
Answers
Answer:
∠ EHK
Step-by-step explanation:
Adjacent angles are positioned next to each other on a straight line and are supplementary.
∠ IHK is next to ∠ EHK on the line DI and are adjacent
The shadow of a building is 72 feet long. At the same time, John, who is 5 feet tall, casts a shadow that's 6 feet long. How tall is the building?
Answers
Answer:82feet tall
Step-by-step explanation:
A recipe for grape Gatorade calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice.
1. How much sparkling water would you need to mix with 9 quarts of grape juice?
(Please help)
Answers
Answer: 3 1/2
Step-by-step explanation:
Yes
Answer:3 1/2
Step-by-step explanation:
find the value of x in each of the given triangles.
Answers
Answer:
7.5
Step-by-step explanation:
10x + 8x + 6x = 180°
24x = 180°
x = 180°÷24
× = 7.5
HOPE IT HELPS YOU.
HOPE IT HELPS YOU.
HOPE IT HELPS YOU.
How many solutions does this system have?
y = 5 x minus 1. y = negative 3 x + 7.
no solutions
one unique solution
two solutions
an infinite number of solutions
Answers
Answer:
One
Step-by-step explanation:
There will be one unique solution of the equation y = 5x - 1 and y = 3x + 7. The correct option is B.
What is a system of equations?A finite collection of equations for which we searched for common solutions is referred to in mathematics as a system of equations, sometimes known as a set of simultaneous equations or an equation system. Similar to single equations, a system of equations can be categorized.
A linear equation can only have one unique solution, which is a location at which the LHS and RHS of the equation are equal. There is only ever one solution to a linear equation with one variable.
y = 5x - 1
y = 3x + 7
5x - 1 = 3x + 7
2x = 8
x = 4
y = 19
Therefore, there will be one unique solution of the equation y = 5x - 1 and y = 3x + 7.
To know more about the system of equations follow
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Identify the constant of proportionality
Answers
What is the equation of the vertical asymptote for the graph below ?
y = 5 + 1 / x + 3
Answers
The equation of the vertical asymptote is x = -3
The function is given as:
[tex]y =\frac{5x +1}{x + 3}[/tex]
Assume the equation of the function is:
[tex]y =\frac{m(x)}{n(x)}[/tex]
So, by comparison;
We have:
[tex]n(x)=x + 3[/tex]
Set n(x) to 0
[tex]x + 3 = 0[/tex]
Subtract 3 from both sides
[tex]x = -3[/tex]
Hence, the equation of the vertical asymptote is x = -3
Read more about asymptotes at:
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Make
x
the subject of the formula
x
−
p
=
t
Answers
Answer:
x = t + p
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
x - p = t
Step 2: Solve for x
Add p to both sides: x = t + pComplete the sentences to explain how to multiply 4.56 x 1,000
Answers
Answer 4560
Step-by-step explanation:
Take 1,000 over 4.56 and mutiply 6 times all the zeros wich gets
Take 6 times 1 and thats 6
And repeat that until you run out of dights which in this case is just 4.56
expand and simplify (x-4)(x-1)
Answers
Step-by-step explanation:
(x - 4)(x - 1)
= x² - x - 4x + 4
= x² - 5x + 4.
Answer:
[tex]\huge(x - 4)(x - 1) \\ \huge= {x}^{2} - x - 4x + 4 \\ \huge = {x}^{2} - 5x + 4[/tex]
(x^2-5x+4) is the right answer.Layla is driving to a concert and needs to pay for parking. There is an automatic fee of
$8 just to enter the parking lot, and when she leaves the lot, she will have to pay an
additional $3 for every hour she had her car in the lot. How much total money would
Layla have to pay for parking if she left her car in the lot for 6 hours? How much
would Layla have to pay if she left her car in the lot for t hours?
Answers
Answer:
additional charge=$3×$6
=$18
minimum charge =$8
total=$24
Answer:
$26
8 + 3t
Step-by-step explanation:
If Luke is 5 feet and 9 inches tall and Ben is 6 feet and 2 inches tall, What is their total height in centimeters rounded to the nearest centimeter? (There are 2.54 centimeters in 1 inch)
Answers
6ft2 = 187.96 cm
175.26 + 187.96 = 363.22 cm
Round => 363 cm
plzzzzzz i will give u a thank u and 5 stars
Answers
Answer:
the answer is 440 square inches.
you just have to multiply all the numbers.
Answer:
B. 440 square inches
Step-by-step explanation:
all you have to do multiply 5x8x11 = 440
Select the equation that is true.
Answers
Answer:
you didnt attach anything
Step-by-step explanation:
4 thousandths times 3 (like this plz 0.004x3)
Answers
Answer:
0.012
Step-by-step explanation:
0.004 * 3 = 0.012
he sum of twice a number and 15”
Answers
Answer:
2x + 15 = the sum of twice a number and 15
Step-by-step explanation:
What would be the new set of numbers if the Scale Factor was 2? 3:4:5:6
Answers
Answer:
6:8:10:12
Step-by-step explanation:
Scale factor of 2-
3:4:5:6
multiply each number by 2
6:8:10:12
11 (9+ d)
simplify
help me pleas
Answers
Answer:
it issss 99+11d :)
Step-by-step explanation:
hope I helped
Answer:
99 + 11d
Step-by-step explanation:
11(9+d)
distribute the 11 into the ( )
99 + 11d
Hope this Helps!!!
can you help me please
Answers
Answer: 2
Step-by-step explanation:
2.5 by 2 is 5
Lengthy by width is area
Solve the equation for y. y-x=5
Answers
y - x = 5
y = x + 5
Hope this helps! :)
Answer:
Hi! The correct answer is y=5+x!
Step-by-step explanation:
~Add x to both sides of the equation~
Find the value of "c". 4c + 18 = 74 *
Answers
[tex]4c \: + 18 = 74[/tex]
[tex] \implies \: 4c = 74 - 18[/tex]
[tex] \implies \: 4c = 56[/tex]
[tex] \implies \: c = \cancel \dfrac{56}{4} [/tex]
[tex] \implies \: c = 14[/tex]
The value of c is 14 .
Answer:
14
Step-by-step explanation:
move all terms that don't contain c then solve.
The trainers at Atlantis Aquarium perform shows about sea life. Yesterday, they performed 4 shows in 2 hours. Today, they will perform 6 shows. If they perform shows at the same rate, how many hours will the trainers spend performing shows today?
Answers
Answer:
3 hours
Step-by-step explanation:
Number of shows : Time taken
= 4 : 2
Today, they will perform 6 shows.
Number of shows : Time taken
= 6 : x
Equate both ratios to find x
4 : 2 = 6 : x
4/2 = 6/x
Cross product
4 * x = 2 * 6
4x = 12
x = 12/4
x = 3 hours
The trainers will spend 3 hours performing shows today
Answer:
3 hours
Step-by-step explanation: