Determine whether the table of values below represents a linear function. If it represents a linear function, write the function. If it does not represent a linear function, explain why not.
Answers
Answer:
The equation of a linear function is:
[tex]y = 2x+4[/tex]Step-by-step explanation:
Given the table
x y
-10 -16
-3 -2
1 6
2 8
Determining the slope between the points (-10, -16), (-3, -2)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-10,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-3,\:-2\right)[/tex]
[tex]m=\frac{-2-\left(-16\right)}{-3-\left(-10\right)}[/tex]
[tex]m=2[/tex]
Determining the slope between the points (-3, -2), (1, 6)
[tex]m=\frac{6-\left(-2\right)}{1-\left(-3\right)}[/tex]
[tex]m=2[/tex]
Determining the slope between the points (1, 6),(2, 8)
[tex]m=\frac{8-6}{2-1}[/tex]
[tex]m = 2[/tex]
As the slope between the points is the same. Thus, the table represents the linear function.
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = 2 and any point let say (1, 6)
[tex]y - 6 = 2(x-1)[/tex]
[tex]y-6 = 2x-2[/tex]
[tex]y = 2x-2+6[/tex]
[tex]y = 2x+4[/tex]
Therefore, the equation of a linear function is:
[tex]y = 2x+4[/tex]Related Questions
solve each system using the substitution method 6x-y=-4 and 2x+2y=15
Answers
Y - 4 = 6x
Y = 6x + 4
Substitute that into second equation
2x + 2(6x + 4) = 15
2x + 12x + 8 = 15
14x = 7
X = 1/2
6(1/2) - y = -4
3 - y = -4
-y = -7, y = 7
Final answer: x = 1/2, y = 7
PLEASE HELP ASAP
Louis earns a base monthly salary of $1,200 with 5% commission on sales. For a month with $25,000 in sales, what are Louis's total earnings?
Answers
Answer:
$2,450
Step-by-step explanation:
Since Louis earns 5% commission on sales, multiply the sales by 0.05:
25,000 × 0.05 = 1,250
Add that to the base salary:
1,250 + 1,200 = 2,450
Hope this helped!
Someone help plz right answer gets brainliest
Answers
Answer:
what is the question
Step-by-step explanation:
Answer:
What do you need help with?
z= 77-27.8i
what are the real and imaginary parts of z
Answers
Answer:
49.19
Step-by-step explanation:
simple
Answer:
b on khan
Step-by-step explanation:
Please help me find the value of x
Answers
8x - 63 = 4x - 27
+63 on both sides
8x = 4x + 36
-4x on both sides
4x = 36
/4 on both sides
x = 9
Answer:
x = 9
Answer:
hhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
x=9
lines l and m are parallel line i is represented by the equation 3x+4y=8 if line m passes through the point (2,-5) which equation represenrs line m
A y-5=-3/4 (x+2)
B y+5= -3/4(x-2)
C y-5= 4/3(x+2)
D y+5= 4/3(x-2)
Answers
Answer:
B
Step-by-step explanation:
because the math
please help asap , explain how you got the answer .
Answers
Answer:
f(x)= -2/5x-4
Step-by-step explanation:
-2/5 is the slope and -4 is the y intercept
this is a little tricky I need help
Answers
Answer:
1.5
Step-by-step explanation:
What factor would you need to multiply(3x – 1) by to get922 - 12
ОА 3
B.
2
3x + 1
0
32 - 1
Answers
Answer:
32 - 1
Step-by-step explanation:
Giving brainliest need help with this please
Answers
Answer:
y-intercepts: (0,5)
x-intercepts: (5/2,0)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y
Which statement correctly describes the expression (–12)7
Answers
Answer:
answer #n
Step-by-step explanation:
we cant see the options
Answer:
One factor is positive and one factor is negative, so the product will be negative.
Step-by-step explanation:
What is an equation of the line that passes through the point (-3,1) and is parallel to the line 4x + 3y = 15?
Answers
Answer:
y=-4/3x-3
Step-by-step explanation:
The equation of the line that passes through the given point will be equal to (-4/3)x - 3.
What is an equation?Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the given information in the question,
The given equation is,
4x + 3y = 15
And the point is (-3, 1)
3y = 15 - 4x
y = (-4/3)x + 15
The line has a slope, of -4/3.
Then, use the equation,
B = y - mx
B = 1 - (-4/3 × 3)
B = -3
So,
y = (-4/3)x - 3
To know more about Equation:
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Im struggling pls help
Answers
Hi this is a challange what is.....
700 x 500 = ?
Answers
Answer:
do 7 x 5 then add 4 zeros so its 350,000
Step-by-step explanation:
Answer:
Yo mom
Step-by-step explanation:
350,000
How do you write 80% as a decimal?
Answers
Answer:
0.8
Step-by-step explanation:
What is the slope of the line 4x – 2y = 10? Explain your process (show your steps) for determining the slope.
Answers
subtract 4x from both sides
-2y = -4x + 10
divide everything by -2
y = 2x - 5
slope intercept form is y = mx + b, with m being the slope, so 2 is your slope
how many boys perfer the ferris wheel?
Answers
Answer:
10 Boys
Step-by-step explanation:
10 boys prefer the Ferris wheel because the total amount of boys is 35, but 23 of those 35 boys prefers the Super Slide, meaning what's left is who prefers the Ferris wheel since there are only 2 options for them to choose from.
35 boys - 23 boys (who like the Super Slide) = 10 boys (the remainder who likes the Ferris wheel).
≧◡≦
Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!
1 The ratio of boys to girls is 3-2. If
there are a total of 20 children in
Mrs. Barlow's class, how many are
girls?
Explain how you solved this problem
A 5
В. О
C. 8
D 2
can you guys help please??
Answers
3+2=5
20/5=4
4x2=8
Help plssssssssss!! Will give brainliest!! 1 and 2
Answers
Answer:
Step-by-step explanation:
5+4^2-6/3
use pemdas
Answer:hahaj
Step-by-step explanation:
please help please please help
Answers
It should be 3/16 sense there is 16 balls in total in Team A's basket.
Use the equation to answer the question.
125 = 25 x 5
Which statement does the equation represent?
O A. 25 is 5 more than 125
B. 25 is 5 times as many as 125
C. 125 is 25 more than 5
D. 125 is 25 times as many as 5
Answers
Answer:
its either A/B
Step-by-step explanation:
Which part of this graph shows a nonlinear relationship?
Depth of water
2
3
Time
A. 2.
B. 1
C. 3
O D. 4
Answers
The non-linear relationship is shown in part 1 of the graph. Then the correct option is B.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
In the given graph we can see the variation in the depth of the water with respect to time. In the first part, the relation is non-linear because the graph is curved.
In the remaining parts, there are straight lines which are showing linear relationships.
Hence, the correct option is B.
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If Tomas rides his bike at a steady rate of 4 miles in 6 minutes, how much miles can he do in 1 minute? PLEASE HELP
Answers
X
X 1 min
4 =6x
x= 2/3
which of the following is a non terminating decimal ( )
a)¾ b) ⅘ c)⅓ d) none
Answers
C is a non terminating decimal.
a = 0.75
b = 0.8
c = 0.333333 (and will never terminate)
Which equation represents the graphed function
Answers
Which decimal Represents the portion that is NOT shaded ?
Answers
I need the answers bad
Answers
Answer:
m<1=72
m<2=72
m<4=72
Step-by-step explanation:
find the surface area of the rectangular prism
please show work!
Answers
(7*4)+(7*4)+(4*5)+(4*5)+(5*7)+(5*7)=
28+28+20+20+35+35=
Answer: 166 in.^2
Mrs. Olive used 1 2/5 quarts of syrup and 5 3/10 quarts of water to make lemonade. How many quarts of lemonade did she make? * A. 6 1/2 B. 6 7/10 C. 7 1/2 D. 8
Answers
Answer:
B. 6 7/10
Step-by-step explanation:
We solve the above y by carrying out addition.
The quarts of Lemonade she made is calculated as:
1 2/5 quarts of syrup + 5 3/10 quarts of water
= 1 + 5 + (2/5 + 3/10)
Lowest common denominator = 10
= 6 ( 4 + 3/10)
= 6 7/10 quarts of Lemonade
Mrs Olive made 6 7/10 quarts of Lemonade
If g(x) = 2(x – 4), find the value of x if g(x) = 20. (2 points) 0 14
Answers
Answer:
x = 14
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
g(x) = 2(x - 4)
g(x) = 20
Step 2: Solve for x
Substitute: 20 = 2(x - 4)Divide 2 on both sides: 10 = x - 4Add 4 to both sides: 14 = xRewrite: x = 14