Answers
Answer:
[tex]y=\displaystyle\frac{1}{2} x-3[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x=0)
1) Determine the slope (m)
[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two points on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (4,-1) and (0,3)
[tex]m=\displaystyle\frac{-1-(-3)}{4-0}\\\\m=\displaystyle\frac{2}{4}\\\\m=\displaystyle\frac{1}{2}[/tex]
Therefore, the slope of the line is [tex]\displaystyle\frac{1}{2}[/tex]. Plug this into [tex]y=mx+b[/tex] :
[tex]y=\displaystyle\frac{1}{2} x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\displaystyle\frac{1}{2} x+b[/tex]
The y-intercept occurs when x=0. Because we're given that (0,-3), the y-intercept is therefore -3.
[tex]y=\displaystyle\frac{1}{2} x-3[/tex]
I hope this helps!
Related Questions
What are the coordinates of point A?
o (5, 1)
(1, 5)
O (-1, 5)
Answers
Answer:
(1, 5)
Step-by-step explanation:
x is 1 to the right
y is 5 up
Therefor
(1, 5)
15) Which of these is equivalent to -5pie rad ?
A) -1800°
B) -900°
C) -72°
D) -36°
Answers
Answer:
-900
Step-by-step explanation:
need help asap please
Answers
I think it might be (B) 7
Help last day !!!!!!!!!!!!!!!
Answers
Answer:
The equation of the lines with the given point does not have a y-intercept of 4 but has a y-intercept of -4.
Step-by-step explanation:
y-intercept is 4
addition ordered pairs on the line are (2, -2), (4, 0), (6, 2), (8, 4)
Find the slope using two of the points: (2, -2), (4, 0).
Slope = (change in the y values)/(change in the x values0
Slope = [0 -(-2)]/ (4 - 2) = 2/ 2 = 1
Checking to see if the y-intercept is 4 substituting slope (m) = 1 and (2, - 2)
y = mx + b
-2 = 1(2) + b
-2 = 2 + b
-2 - 2 = b
-4 = b so we know that the y-intercept is not 4 but it is -4.
Now write the equation of the line using a slope = 1 and y-intercept of -4
y = mx + b
y = x - 4
Next check the other points into the equation of the line to see if the equation is correct.
x = 2 did y = -2 ? y = x - 4; y = 2 - 4 ; y = -2 point (2, -2) works.
x = 4 did y = 0? y = x - 4; y = 4 - 4; y = 0 point (4,0) works.
x = 6 did y = 2? y = x - 4; y = 6 - 4; y = 2 point (6, 2) works.
x = 8 did y = 4? y = x - 4; y = 8 - 4; y = 4 point (8, 4) works.
What is the slope of the function, represented by the table of values below?
Answers
Answer:
B
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 10) and (x₂, y₂ ) = (8, - 10) ← 2 ordered pairs from the table
m = [tex]\frac{-10-10}{8-(-2)}[/tex] = [tex]\frac{-20}{8+2}[/tex] = [tex]\frac{-20}{10}[/tex] = - 2 → B
The functions f and g are defined as follows.
3
f(x) = 3x - 3 g(x) = 3x' +5
Find f(-6) and g(-3).
Simplify your answers as much as possible.
f(-6) -
X
g(-3) =
Answers
-21
G(-3)=-4
for what value of the variable will the expression 8b-27
-11
Answers
Answer:
b=2
Step-by-step explanation:
Find the measure of
Answers
Answer:
120° , 80° , 90°
Step-by-step explanation:
The sum of the inner angles of a triangle is one hundred and eighty degrees. and as the diagram shows, The AB is equal to AC so angle ABC is equal to angle ACB so Angle A is 180°-(30°×2)=120°
you can get the second follow the above steps
and the third one is 2x+x+x=180°
so 4x=180°
so x=45°
so 2x=90°
Q.17) Given info:- In ∆ABC , AB = AC where, angle A = x°, angle B = 30°and angle C = ?°. Find the value of X in triangle ABC ?
Explanation:
Given that
ABC is a triangle
angle A = x°
angle B = 30°
angle C = ?°
And
AB =AC
We know that
In a triangle Angles opposite to equal sides are equal.
⇛Opposite angle to AB = Opposite angle to AC
⇛angle B = angle C
⇛angle B & C = 30°
We know that
The sum of all angles in a triangle is 180°
⇛ angle A + angle B + angle C = 180°
⇛30° + x° + 30° = 180°
⇛60° + x° = 180°
⇛x° = 180°÷60 = 180°:60
⇛x° = 180°/60
⇛x° = 3°
Now,
⇛angle A = x = 3°
⇛angle B = 30°
⇛angle C = 30°
Answer: The value of x for the given problem is 3°
Q.18) Given info:- In ∆ABC , AB = AC where, angle A = x°, angle B = 50°and angle C = ?°. Find the value of X in triangle ABC ?
Explanation:
Given that
ABC is a triangle
angle A = x°
angle B = 50°
angle C = ?°
And
AB =AC
We know that
In a triangle Angles opposite to equal sides are equal.
⇛Opposite angle to AB = Opposite angle to AC
⇛angle B = angle C
⇛angle B & C = 50°
We know that
The sum of all angles in a triangle is 180°
⇛ angle A + angle B + angle C = 180°
⇛ x° + 50°+50° = 180°
⇛x° + 100 = 180°
⇛x° = 180°÷100° = 180°:100°
⇛x° = 180°/100
⇛x° = 18°
Now,
⇛angle A = x = 18°
⇛angle B = 50°
⇛angle C = 50°
Answer: The value of x for the given problem is 18°
Q.19) Given info:- In ∆ABC , AB = AC and angle A = 2x°, angle B = x°, angle C = x°. Find the value of X in triangle ABC ?
Explanation:
Given that
ABC is a triangle
angle A = 2x°
angle B = x°
angle C = x°
And
AB =AC
We know that
In a triangle Angles opposite to equal sides are equal.
⇛Opposite angle to AB = Opposite angle to AC
⇛angle B = angle C
⇛angle B & C = x°
We know that
The sum of all angles in a triangle is 180°
⇛ angle A + angle B + angle C = 180°
⇛x° + 2x° + x° = 180°
⇛2x° + 2x° = 180°
⇛4x° = 180°
⇛x° = 180°÷4 = 180°:4
⇛x° = 180°/4
⇛x° = 45°
Now,
⇛angle A = 2x = 2(45) = 90°
⇛angle B = 45°
⇛angle C = 45°
Answer: The value of x for the given problem is 45°
I need help with this question
Answers
Brainliest would be appreciated.
Help Me WHAT is 2 + 2
Answers
Answer:
4
Step-by-step explanation:
Answer:
= 42 + 2 = 4
Step-by-step explanation:
yw :-)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answers
Answer:
-2
Step-by-step explanation:
Answer:
D, -2
Step-by-step explanation:
Take a look at the number inside the function "f" which is 2. now know that it is a number you are supposed to substitute in the place of x .. therefore : f(2) = 5(2) - 12 = 10 - 12 = -2.
31 points answer fast
Answers
Its : 2 over x + 2
4.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.
y = −3x^2 − 29x + 30
A. quadratic function; quadratic term: −3x^2; linear term: −29x; constant term: 30
B. linear function; linear term: −29x; constant term: 30
C. linear function; linear term: −26x; constant term: −24
D. quadratic function; quadratic term: 4x^2; linear term: −26x; constant term: −24
Answers
Answer:
A. quadratic function; quadratic term: −3x^2; linear term: −29x; constant term: 30
Step-by-step explanation:
this is a quadratic function
quadratic term is -3x^2 , linear = -29x and constant = + 30.
Answer:
Quadratic term = (-3x²)
Linear term = (-29x)
Constant term = 30
Step-by-step explanation:
We have to classify the function as linear or quadratic.
Linear function ⇒ Is a function in which highest degree of variable is one.
Quadratic function ⇒ Is a function in which highest degree term or variable is 2.
Therefore, in the given function y = -3² - 29x + 30, (-3x²) is the highest degree term with the degreeof 2.
So the given function is quadratic.
In this function Quadratic term = (-3x²)
Linear term = (-29x)
Constant term = 30
another mathh question
Answers
where is the Question!!!
can you plz give me brainliest I really need it
Your question is incomplete.
Please if you need help I will try to help you :)
Have a Good Day.
PLEASE HELP WILL GIVE BRAINLIEST AND 100 POINTS
Answers
Answer:
answer down below:
https://vsa.flvs.net/default.aspx?PageID=117&fn=Student-Dashboard
Step-by-step explanation:
Answer:
4, 7.5
Step-by-step explanation:
4. (x+6)(x+10)=140 ->
x=4
5. 550 = 8(x-2)(x+5) ->
x=15/2=7.5
Hope that helps! :)
Can someone help me with this? (Do not upload through file only text please!)
Answers
Answer:
-6
Step-by-step explanation:
f(0) = 5(0) -6
f(0) = -6
Weslyes family spent $1,400 on a trip to the Grand Canyon. They spent 30% of the total on a sightseeing helicopter flight. Wesley estimates that his family spent about $450 on the flight
Answers
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
In pic
6 less than the quotient of 4 and a number
Answers
Answer:
4/n subtracted by 6 or the third option
Step-by-step explanation:
Is 4/9 equivalent to 8/16
Answers
Answer in the picture.
What is the value of -4 x ( 4 - 6 ) ?
Answers
Answer: 8
Step-by-step explanation:
Write the slope-intercept form of the given line. Include your work in your final answer. Type your answer in the box provided to submit your solution.
Answers
Answer:
y=-1/3x+1
Step-by-step explanation:
it is negative because when you find the slope you go down instead of up
M=8;(-2,16) write an equation in slope intercept given the slope and a point on the link
Answers
Answer:
y = kx+b
Step-by-step explanation:
use dis
A construction worker measures the amount of cement in a cement truck every 5 minutes as it empties. The table shows the data What is the rate of change for the volume of cement in the truck?
the rate of change of the amount of cement is:
Answers
Answer:
35
Step-by-step explanation:
210 - 175 = 35
175 - 140 = 35
140 - 105 = 35
105 - 70 = 35
I hope this helps!
How would the number of solutions for an equation with two variables differ from the number of solutions for an equation with only one?
Answers
Answer: An equation with one variable can have no solutions, one solution, or infinitely many solutions. An equation with two variables can have no solutions, one solution, or infinitely many solutions
Step-by-step explanation:
brainliest me
1. A person who weighs 100pounds on Earth weighs 16.5 pounds on the Moon. If a boy
weighs 86pounds on Earth, how much does he weigh on the moon
Answers
Answer:
That person would weigh 14.22 lbs.
1/6 x 2/3 please help
Answers
Answer:
2/18 or 1/9
Step-by-step explanation:
just directly multiply it 2×1=2
6×3=18 so 2/18 simplify 1/9
Which inequality is true when the value of d is −13?
Answers
Answer:
A. -5 - 3(6) > 10
13 > 10
Step-by-step explanation:
give us the options to answer then we can answer it
The ages of two people add up to 25 and their ratio is 2: 3. What is the age of the younger person?
Answers
Answer:
10
Step-by-step explanation:
2 + 3 = 5
25/5 = 5
2 · 5 = 10
3 · 5 = 15
what is the perpendicular equation to y=-2/6x+1;(4/27,-2/3)
Answers
Answer:
you must use alltitude or hight
Step-by-step explanation:
Altitude or height
factorize 27a³b³- 45a⁴b²
Answers
Blue boxed text is ur answer
- BRAINLIEST answerer
Answer:
9
a
3
b
2
(
3
b
−
5
a
)
Step-by-step explanation: