Graph each linear equation that passes through the given pair of points. Use graph paper.
1. (2,2) and (4,5)
2. (0,1/2) and (2,3/2)
3. (-1,2) and (5,0)
4(-5,-3) and (-3,5)
Answers
Answer:
The easier way to solve this is to find the two points in the coordinate axis, and just draw a line that passes through the two points.
But let's be more complete:
Let's find the equations for each line:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
1) Here the points are (2,2) and (4,5)
then the slope is:
a = (5 - 2)/(4 - 2) = 3/2
y = (3/2)*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (2, 2)
2 = (3/2)*2 + b
2 = 3 + b
2 - 3 = b
-1 = b
y = (3/2)*x - 1
2) Here the points are (0,1/2) and (2,3/2)
then the slope is:
a = (3/2 - 1/2)/(2 - 0) = 1/2
y = (1/2)*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (0, 1/2)
1/2 = (1/2)*0 + b
1/2 = b
y = (1/2)*x + 1/2
3) Here the points are (-1,2) and (5,0)
then the slope is:
a = (0 - 2)/(5 + 1) = -1/3
y = (-1/3)*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-1, 2)
2 = (-1/3)*-1 + b
2 = 1/3 + b
2 - 1/3 = b
5/3 = b
y = (-1/3)*x + 5/3
4) Here the points are (-5,-3) and (-3,5)
then the slope is:
a = (5 + 3)/(-3 + 5) = -4
y = -4*x + b
And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-3, 5)
5 = -4*-3 + b
5 = 12 + b
5 - 12 = b
-7 = b
y = -4*x - 7
Now that we have all the equations, we can find the graphs.
where the colors are:
(4) green
(3) orange
(2) Blue
(1) Gray.
Related Questions
Calculate the slope of the line passing through the points (4, 7) and (9, -1).
Answers
the answer is -8/5
ur welcome lolz
Answer:
The slope is -1.6
You have quarters. You find % more quarters in your room. Then you go shopping and spend % of the total number of quarters. Write an expression to represent the total number of quarters you take with you shopping. Calculate, in dollars, the amount of money you have left.
Answers
Complete question :
You have 20 quarters. You find 40% more quarters in your room. Then you go shopping and spend 50% of the total number of quarters.
A. Write an expression that represents the total number of quarters you take with you when you go shopping.
B. How much money do you have left?
Answer:
[20 + (0.4*20)] = 28 quarters
$3.5
Step-by-step explanation:
Given that:
Initial number of quarters = 20
Quarters in room = 40%
Hence, Numbe of quarters in room = 0.4 * 20 = 8
Total number of quarters taken for shopping :
(Initial amount + Numbe of quarters in room)
(20 + 8) = 28 quarters
50% of quarters was spent on shopping :
0.5 * 28 = 14 quarters
Total left :
28 - 14 = 14
Quarters left in dollars :
1 quarter = 25 cent = 0.25 dollars
14 * $0.25 = $3.5
A 25 kg rock , is raised to the top of a hill 10 m high. What is the Potential Energy of the rock ?
Answers
Answer:
2450 J
Step-by-step explanation:
mass(m)=25kg
height(h)=10m
gravity(g)=9.8
now,
PE=mgh
=25×10×9.8
=2450J
ANS
BRAINLIEST
PLS HELP ASAP IM FAILING
Quadrilateral ABCD has coordinates A(-2,0), B(0,4), C(4.6), and D(2,2). If it is
reflected over the x-axis, what are the coordinates of B'? (Answer as an ordered pair without spaces)
pair without spaces)
Answers
Answer:
B' (0,-4)
Step-by-step explanation:
When a point undergoes a reflection across the x-axis, it follows this transformation:
(x, y) --> (x, -y)
(0, 4) --> (0, -4)
Please answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answers
Answer:
14
Step-by-step explanation:
this 5th question ...please answer
Answers
Answer:
Im 47 and i have no idea
Step-by-step explanation:
thanks for 5 points
find the coordinates of the circumcenter of the triangle below
Answers
Type the correct answer in the box. Use numerals instead of words.
Laura is a single taxpayer. She has $35,000 in ordinary taxable income and $5,000 in capital gains on an investment she held for 2 years. Use the tables to complete the statement.
Single Taxpayers: Income Brackets
Tax Rate Income Bracket
10% 0 to 9,525
12% 9,526 to 38,700
22% 38,701 to 82,500
24% 82,501 to 157,500
32% 157,501 to 200,000
35% 200,001 to 500,000
37% > 500,000
Single Taxpayers: Qualified Dividends and Long-Term Capital Gains
Tax Rate Income Bracket
0% 0 to 38,600
15% 38,601 to 425,800
20% > 425,800
The tax rate Laura will pay on her investment income is
%.
Answers
Answer:
22% because her taxable income will now be 40,000 dollars
Step-by-step explanation:
Answer:
15% Plato
Step-by-step explanation:
how is an equation of the line that passes through the point (2,3) and has a slope of -6 written?
Answers
Answer:
y - 3 = -6 (x-2) or y = -6x + 15
Step-by-step explanation:
y-k = m (x-h)
substitute (2,3) for (h,k):
y-3 = m (x-2)
substitute -6 for m:
y - 3 = -6 (x-2)
what value of x makes the equation true ?
Answers
Answer:
x = -7
Step-by-step explanation:
You have to set up an algabraic equasion
2x + 3 = x - 4
-7 = x
What is an equation of the line that passes through the points
(4,-8) (-4,2)
Answers
(4,-8), (-4,2)
X1 y1 x2 y2
2-(-8)/-4-4= 10/-8 dived by 2
=5/-4 or -5/4
M=-5/4
(M is slope)
PLZ HELP!!!!!!!!!!!!!!!!! LOTS OF POINTS!!!!
There are 6 racers who went on a 25 meter race!!
X=time in seconds
Y=distance in meters
1) The winner race D (line purple) won the race in 9.6 seconds! Equation for line y=2.5x+1
How fast was this person traveling? Write in unit rates
2) what would the graph look like if one of the riders fell off their tricycle
Answers
Answer:
0u09u0u
Step-by-step explanation:
8
Pls need help. Due in a few minutes
Answers
Answer:
9x
5x-2+4x+2
9x
Step-by-step explanation:
Help it’s an easy question I’m just dumb please help me!
Find the x-intercept of the rational function.
A. (0,-2)
B. (-2,0)
C. (0,5)
D. (5,0)
Please explain how you got your answer. Thanks
Answers
Answer:
c
Step-by-step explanation:
c i think
Adelaide has a credit card with a company that charges $3.00 for every day a payment is late. If she paid $492.93 for a bill that is 3 days late, how much was the bill without the late fee?
Answers
Find the value of c that completes the square
x^2-16x+c
Please help me with how to do this, and show me. Thank you.
Answers
Answer:
The value that completes the square is: c=8
Step-by-step explanation:
Find the value of c that completes the square [tex]x^2-16x+c[/tex]
The formula used is: [tex]a^2-2ab+b^2=(a-b)^2[/tex]
In the question given the value c can be found by breaking the middle term. we are given -16x while the general formula is 2ab for middle term so,
2(x)(8) = 16x
so, c= 8
Solving:
[tex]x^2-16x+c\\=x^2-2(x)(8)+(8)^2-(8)^2\\=(x-8)^2-64[/tex]
So, the value that completes the square is: c=8
What is the slope of the line that passes through the points (5,-4) and (7,-4)? write your answer in simplest form
Answers
Answer:
0
Step-by-step explanation:
Because there are two negatives of the same number, we can instantly know that this would be 0.
Answer: 0
on this one it can’t be undefined so put 0 and you will get it correct
Pls someone help idk
Answers
Answer:
first one c and the second on b
Step-by-step explanation:
Can someone check this for me! I am not sure if I did this right
Answers
9514 1404 393
Answer:
8 seconds
Step-by-step explanation:
Your answer is the time interval at which the projectile is at or above ground level.
The way I read the question, it is asking for the value of t when the projectile hits the ground. It is 8 (seconds). My answer to this question would be 8, or 8 seconds.
__
Comment
We cannot tell whether the answer is intended to include units, or not. The usual clues are missing here.
plsssssssssssssss help
Answers
Answer:
(D). (8, - 5)
Step-by-step explanation:
Coordinates of a center of a circle (x - h)² + (y - k)² = r² is (h, k)
Coordinates of the midpoint are ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )
(x² - 10x + 25) + (y² + 2y + 1) = 25
(x - 5)² + (y + 1)² = 5²
(5, - 1) are coordinates of the center of the circle and (5, - 1) is a midpoint of the segment connected (2, 3) and (x, y)
5 = (2 + x) / 2 ⇒ x = 8
- 1 = (3 + y) / 2 ⇒ y = - 5
(D). (8, - 5)
In the U.S. presidential election of 1864, Abraham Lincoln received 2,218,388 of the 4,031,887 votes. About
what fraction of the votes did Lincoln receive?
Answers
What is the sum of all integers that are multiples of 4 from 1 to 150? *Show your solution*
Answers
There's a pretty simple formula to follow: count of multiples [tex]*[/tex] average of the multiple.
To find the average, we take the smallest multiple of 4 which is in the range of 1 and 150 which is 4 of course. And the largest would be 148 since that's the only number in the range. So now average them: [tex]\frac{4 + 148}{2} = \frac{152}{2} = 76[/tex]
Now we find the count of the multiples which is in the range of 1 to 150. To do that, we use this formula:
[tex]\frac{\text{largest multiple} - \text{smallest multiple}}{n} \\[/tex]
Here, [tex]n[/tex] is 4 so this would be:
[tex]\frac{148-4}{4} = \frac{144}{4} = 36[/tex]
This would give you the exclusive count of all the numbers, but we want the inclusive count so, we simple add 1 so the count would be [tex]37[/tex]
Now following the 1st formula we get: [tex]37 * 76 = 2812[/tex]
So the answer would be 2812! :D
And here's the check too:
WILL MARK BRAINLIESTS
and go on my last question please!
Answers
Answer:
125*125
Step-by-step explanation:
i am in need of help
Answers
Answer:
(in the image)
Step-by-step explanation:
for the slope one - both triangle a and b have a slope of 5/3 (b's goes from 15/9 to 5/3 because of simplifying)
for the second one - 5/3=15/9 because the sides of both triangles correspond
My Answer to that:
5 - 3= 15 - 9 (Statement)- 5/3 = slope (Reason)
Definition of slope (Statement) - triangle A is similar to triangle B (Reason)
- sorry if wrong but that is the answer I would put
Solve for X.Just type the number only, the answer is a positive whole number
Answers
Answer:
7
Step-by-step explanation:
If line l is parallel to line m, therefore:
[tex] 16x + 22 = 134 [/tex] (alternate exterior angles are congruent)
Subtract 22 from each side
[tex] 16x + 22 - 22 = 134 - 22 [/tex]
[tex] 16x = 112 [/tex]
Divide both sides by 16
[tex] \frac{16x}{16} = \frac{112}{16} [/tex]
[tex] x = 7 [/tex]
Please help due in 5 min
Answers
Answer: 4 UNITS LEFT!!!
Step-by-step explanation: I know it!
Please give me brainiest
Hope I helped :)
4 units left of the x-y plane
help mesothelioma this pleaseeee
Answers
5x + (x , 3) = 38.4 =?
Answers
x = 9.8
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly and at a constant rate. After 888 months, he weighed 138138138 kilograms. He started at 909090 kilograms.
Answers
Given :
Initial weight of sumo wrestler, I = 90 kg.
Final weight of sumo wrestler, F = 138 kg.
Time taken, T = 8 months.
To Find :
Weight gain per month.
Solution :
Weight gain per month = ( Final weight - Initial weight ) ÷ Total number of month
[tex]W = \dfrac{138-90 }{8}\ kg/month\\\\W = 6 \ kg/month[/tex]
Therefore, weight gain per month is 6 kg/month.
Hence, this is the required solution.
Help PLEASE HELP IT FOR MY LOTTLE SIS AND I stink at math soHELP!!
Answers
Answer:
3, 6, 15, 12, 33, 16, 3a, 4b
All the fractions can simplify to 2/3
Answer:
3, 6, 15, 12, 33, 16, 3a, 4b
Step-by-step explanation:
re the same except you have to add the variable letter in front of them.You can multiply or divide 4/6 to fill in the blanks for the other ones. The last 2 with variables are the exact same, but you have to add the variable letter as well. Please correct me if I am wrong because everybody makes mistakes.