All of the points in the picture are on the same line.
YA
(6, 10)
(a, 8)
(4,5)
(2, 2)
1. Find the slope of the line. Explain or show your reasoning,
2. Write an equation for the line.
3. Find the values for a and b. Explain or show your reasoning
4. What is the y-coordinate when x = 0? Explain or show your reasoning.
Answer:
Did you ever get the answers??
The equation of the line is y = 2x - 2.
What is the point-slope form of a line?If m is the slope of the line that passes through the point (x₁, y₁), then the equation of the line is y - y₁ = m (x - x₁).
The graph of the line is given.
(1)
The line passes through points (2,2) and (6,10).
The slope of the line is:
m = (10 - 2)/(6 - 2)
m = 8/4
m = 2
(2)
The equation of the line with a slope of m =2 and passes through (2,2) is:
y - 2 = 2(x - 2)
y = 2x - 4 + 2
y = 2x - 2 (1)
(3)
The line passes through points (4,b) and (a,8), therefore, from equation (1):
b = 2(4) - 2
b = 6, and
8 = 2a - 2
2a = 10
a = 5
(4)
Substitute x = 0 into equation (1):
y = 2(0) - 2
y = -2
Hence, the equation of the line is y = 2x - 2.
Learn more about the point-slope form of a line:
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The ratio of commercial time to television program time is 13 minutes to 47 minutes. How many minutes of commercial time in a two-hour television show?
Answer:
26 minutes
Step-by-step explanation:
13:47=1 hour
Multiply by 2
26:94= 2 hours
I am less than 10 l am not a multiple of 2 l am a composite number.
Answer:
9 is the answer
Step-by-step explanation:
if it was less then ten and not a multiple of 2 then i will ether be 1 3 5 7 9 but the composite numbers are 4 6 8 9 so since it is not a factor of 2 it has to be 9. so 9 is the answer
The number which is less than 10, not a multiple of 2, and is a composite number, is 9.
What is multiplication?One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.
Given:
I am less than 10 l am not a multiple of 2 l am a composite number,
The numbers which are less than ten are,
9, 8, 7, 6, 5, 4, 3, 2, 1, 0
The numbers which are not the multiple of 2 are shown below,
9, 7, 5, 3, 1, 0
The numbers which are composite are shown below,
9 = 3 × 3
Thus, The number is 9.
To know more about multiplication:
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Given the equation 4x + 2y = 9, which equation below would cause an inconsistent-independent system? (2 points)
Answer: 2x+y=-6
Step-by-step explanation:
what is the slope of the line that passes through the points (7, -5) and (10, -7.5)?
A:
[tex] \frac{5}{6} [/tex]
B:
[tex] \frac{6}{5} [/tex]
C:
[tex] - \frac{5}{6} [/tex]
D:
[tex] - \frac{6}{5} [/tex]
Answer:
C. [tex]-\frac{5}{6}[/tex]
Step-by-step explanation:
just use the equation [tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex] So our first point (7,-5) will be [tex]x_1=7,y_1=-5[/tex]and our second point (10, -7.5) will be [tex]x_2=10,y_2=-7.5[/tex] Then substitute[tex]slope=\frac{(-7.5)-(-5)}{(10)-(7)}=\frac{-2.5}{3}=-\frac{5}{6}[/tex]Estimate the following product in scientific notation, and then select the best answer for the product’s power of 10.
2.7
14
15
27
Answer:
15
Step-by-step explanation:
What is the area of ABC?
Answer:
Area of triangle ABC = 10
Option C is correct.
Step-by-step explanation:
We need to find area of triangle ABC
We are given A(2,1) B(4,7) and C(6,3)
The formula used to find [tex]Area \ of \ triangle=\frac{1}{2}base\times height[/tex] ABC is:
In the given triangle base= AC and height = BC
First we need to find the distance between A and C and B and C
The formula used to find distance between AC [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have [tex]x_1=2, y_1=1, x_2=6, y_2=3[/tex]
Putting values and finding distance
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(6-2)^2+(3-1)^2}\\Distance=\sqrt{(4)^2+(2)^2}\\Distance=\sqrt{16+4}\\Distance=\sqrt{20}[/tex]
find distance between BC [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have [tex]x_1=4, y_1=7, x_2=6, y_2=3[/tex]
Putting values and finding distance
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(6-4)^2+(3-7)^2}\\Distance=\sqrt{(2)^2+(4)^2}\\Distance=\sqrt{4+16}\\Distance=\sqrt{20}[/tex]
So, We have height = [tex]\sqrt{20}[/tex] and base = [tex]\sqrt{20}[/tex]
Finding area of triangle
[tex]Area \ of \ triangle=\frac{1}{2}base\times height\\Area \ of \ triangle=\frac{1}{2}\sqrt{20} \times \sqrt{20} \\Area \ of \ triangle=\frac{1}{2}\times 20\\Area \ of \ triangle=10[/tex]
So, Area of triangle ABC = 10
Option C is correct.
The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?
Answer:
$52.50
Step-by-step explanation:
Set up the ratio:
[tex]\frac{24.50}{7}[/tex]
Simplify in order to find the cost per gallon.
The cost per gallon is $3.50 because 7 divided by 7 is one and 24.50 divided by seven is 3.5.
Now you have this left:
[tex]\frac{3.50}{1}[/tex]
Multiply the denominator by 15 since Robert needs 15 gallons.
Then, multiply the top by 15 because whatever you do to the denominator, you have to do to the top.
Now you have this left:
[tex]\frac{3.5}{1}[/tex] = [tex]\frac{52.50}{15}[/tex]
Therefore, Robert needs to pay $52.50 in order to recieve 15 gallons of gasoline.
PLEASE HELP ME !
Determine the range of the inequality 4x2 + 3x - 10
Answer:
-22
Step-by-step explanation:
type it in google
Use absolute value to express the distance between 8 and -5
Answer:
The distance between points 8 and -5 is 13
Step-by-step explanation:
We need to find distance between points 8 and -5
The formula used to find the distance is: [tex]Distance=|b-a|[/tex]
Absolute value is used to get only positive values. i.e |-1|=1 if required.
We are given: b=8 and a=-5
Putting values and finding distance
[tex]Distance=|b-a|\\Distance=|8-(-5)|\\Distance=|8+5|\\Dstance=|13|\\Distance=13[/tex]
So, the distance between points 8 and -5 is 13
What is a function in math?
if you explain I will make you brainiest!
Answer:
A function is an equation in math that connects an input to a given output.
Step-by-step explanation:
I need help plsssssss
Answer:
C. y= 7x
Step-by-step explanation:
The First-person to get correct will get BRAINLESIT
I think of a number, multiply it by four, and subtract three. I get eleven. a) Using the statement above, form an equation. Use the letter 'x' for the unknown number.
b) Solve the equation
Hey I need some help!! Does anyone mind giving me the answers and explain how? I really don’t understand. PS the question is in the pic, I will mark u brainlist if you help!! Have a wonderful day everyone!!!!! Technically I’m supposed to match them btw!
Answer:
2x2x2x5
Step-by-step explanation:
2x2x2x5 equals 40
***Answer when you can!***
Evaluate functions from their graph
g(-4)=??
Answer:
1
Step-by-step explanation:
That is the y coordinate when x is -4Is (-1, -4) a solution to a equation y=6x_ -2?
There are 12 members in a bicycle club this fall. But next summer, Noelle hopes the number of members will be 175% of this number. What is Noelle’s goal for the number of members next summer
Leon drove from his house in Cincinnati to his sister’s house in Cleveland, a distance of 252 miles. It took him 4.5 hours. For the first half-hour, he had heavy traffic, and the rest of the time his speed was five miles per hour less than twice his speed in heavy traffic. What was his speed in heavy traffic?
Answer:
Speed in heavy traffic is 32 miles per hour
Step-by-step explanation:
Total distance = 252miles
Total time = 4.5hours = 4 hours + 30minutes
Let the speed in heavy traffic = x
distance = time * speed
First half hour
D1 = 0.5*x
The speed after the traffic = 2x - 5
D2= 4* (2x - 5)
Total distance = D1 + D2
[tex]\frac{x}{2}[/tex] + 8x - 20 = 252
[tex]\frac{17x}{2}[/tex] = 272
x = [tex]\frac{272}{17}*2[/tex]
x = 32 miles per hour
Simplify:
a) 3y - y
b) 69 + 4 - 9 +5
Answer:
a) 2y
b) 69
Step-by-step explanation:
The monthly payment for a car lease is $530 for 18 months. The down payment is $2,000. The residual value is $7,000. What is the total cost of the lease? A. $18,540 B. $20,540 C. $25,540
Answer:
18540
Step-by-step explanation:
18 times 530 = 9540
9540 + 2,000 + 7,000= 18540
I did 18 times 530 because it said 530 for 18 months
Use this new algebraic method to find equations for the line with the following properties:
A slope of −3, passing through the point (15,−50).
Show your work in the sketch box on the left.
Step 1: Substitute values for m, x, and y.
Step 2: Solve equation for b.
Step 3: Rewrite your equation with only m and b.
What is the equation of this line?
Answer:
Y = -3x + 90
Step-by-step explanation:
Y= Mx + b
M - (-3)
X - 15
Y - (-50)
Y = Mx + b
50 = (-3)(15) + b
50 = -45 + b
95 = b
Y = -3x + 90
Hope this helps
the ratio of 70 to 210
If you're looking for the lowest ratio for 70 to 210, it should be
1:3
70min=70×60=4200sec
ratio=4200/210
=210×20/210
=20/1
=20:1
ahhhhhhhhh come on I'm so stupid
Answer:
1. -32
2. -46
Step-by-step explanation:
1. When muliplying a number with a postive number and a negative number the answer will be a negative number
2. When you have a negative number and when you have a postive number and you are subtracting your answer has to be a negative answer
Answer:
cvgbnm,m
Step-by-step explanation:
bxxcvn vn
BRAINLIEST ON THE LINE INFO IN PHOTO BELOW
Answer:
32 days is my final answer
Step-by-step explanation:
what is this !?help please!
Write a equation in slope-intercept form of the line that passes though (-5,19) and (5,13)
Answer:
y= -3/5x + 16
Step-by-step explanation:
slope intercept form: y=mx+b
1. Find the slope: rise over run so 13-19/ 5-(-5) = -3/5
M=-3.5
2. Find the y - intercept by using the point slope form: b= 16
So, y= -3/5x + 16
Hope this helps :)
C-17 = 19
Hi please help
Answer:
C=36
Step-by-step explanation:
C-17=19
C=19+17
C=36
Joshua's car used is of a gallon to travel of a mile. At what rate does the car use gas, in miles per gallon? On the double number line below, fill in the given values] , then use multiplication to find the missing value. Enter your answers as fractions, mixed numbers, or whole numbers. To enter a mixed number on the double number line, use a space and the slash key. For example: 3 1/2 miles o O 1 gallons Enter your final answers as fractions,mixed numbers,or whole number
What is the y intercept? 7x+y=10
Answer:
the y intercept is y
Step-by-step explanation:
because we have the variable already/////
⚠️⚠️ Find the correct for each input. Then, tell whether the function is linear or nonlinear ⚠️⚠️
Answer:
-1, -7
1, 3
3, -1
5, -5
Step-by-step explanation: