A line passes through (-2, 7) and (3, 2).
Find the slope-intercept form of the equation of the line.
Then fill in the value of the slope, m , and the value of the y-intercept, b, below.
m=
b=
[tex]\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}[/tex]
Slope of the line :
[tex] \large\boxed{ \mathrm{ \frac{y_2 - y_1 }{x_2 - x_1} }}[/tex]
[tex] \dfrac{7 - 2}{ - 2 - 3} [/tex][tex] \dfrac{ 5}{ - 5} [/tex][tex] - 1[/tex]therefore, m = slope = -1
The equation of the line will be :
y = mx + by = (-1 × x) + by = -x + bNow, let's plug the value of x and y from coordinates of second point,
[tex]y = - x + b[/tex][tex]2 = - 3 + b[/tex][tex]b = 5[/tex]Hence, the required values are :
[tex] \boxed{m = - 1}[/tex][tex] \boxed{ \: \: \: b = 5 \: \: \: }[/tex]_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
The slope of line passing through (-2, 7) and (3, 2). is -1 and the value of the y-intercept b is 5.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
A line passes through (-2, 7) and (3, 2). We need to find the slope.
x₁=-2, x₂=3, y₁=7, y₂=2
substitute the values in formula of slope
m=2-7/3-(-2)
m=-5/5=-1
The slope intercept form of line is y=-x+b
To find b put the values of (-2,7)
7=-(-2)+b
7=2+b
7-2=b
5=b
y intercept is 5
Hence the slope of line passing through (-2, 7) and (3, 2). is -1 and the value of the y-intercept b is 5.
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The Box and whisker plot below shows the number of points each member of the middle school basketball team made during the game on Saturday. What was the greatest number of points scored by a basketball player during the game on Saturday?
Answer: You are correct. The answer is C) 7
This is because the max is visually shown by the tip of the right whisker. This assumes there are no large outliers. If there were large outliers, then we'd have island points to the right of the boxplot.
during a sale, a shopkeeper reduced the prices of all his goods by 15 %. Calculate the normal selling price of microwave which was sold for Rs 3825 in the sale.
Answer:
Normal selling price is Rs 4500
Explanation:
1) Selling price = original price × (100-d) / 100
d = reduced price percentage
2) Rearrange the formula
original price = (selling price × 100) / (100 - d)
S.p = 3825
d= 15%
let original price = x
Therefore
x = (s.p×100) / (100-d)
x = (3825×100) ÷ (100-15)
x = 382500/85
x = 4500
consider the original price x
offer15% = 15x/100
Saling price = x - 15x/100
3825 = 85x/100
x = (3825×100)÷ 85 = 4500 rs
Answer the normal selling price of microwave which was sold for Rs 3825 in the sale is 4500 rs
Please help this is for a project: The stimulus check is a one time $1,200 pay out and the unemployment check is $600 per week
for a maximum of 16 weeks. Make an equation that can be used to find y, the amount of money in your
account after x number of weeks of getting unemployment checks.
Can b an x be greater than 16? What is a mathematical way to show that?
What is taxes? What is Texas' tax rate?
please help ive been struggling for a hour i will give a lot of points if corrected
Answer:
EFG = 104°
GFH = 76°
Step-by-step explanation:
The sum of a linear pair is always equal to 180°
So lets solve for the variable n
2n + 32 + 4n + 16 = 180
6n + 48 = 180
6n = 132
n = 22
So now we know N
EFG = 4n + 16
EFG = 88 + 16
EFG = 104°
GFH = 2n + 32°
GFH = 44 + 32
GFH = 76°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
please help me with these two problems I need help
Answer:
24 area
18.80983669 perimeter
Step-by-step explanation:
1 (6*3/2)*2(1*3/2)+(4*3)
2 trust me
What is 5.88 divided by -4
Answer:
-1.47
Step-by-step explanation:
5.88/-4= -1.47
Can someone help me p
Answer:
(3.5, -2)
Step-by-step explanation:
that point is where the edge if the rectangle is
Sorry I just needed help
I WILL GIVE BRAINLIEST!!!!!!
Starting at (0,0) if you were to go 5 units left and 6 units up what coordinates would you end up at? What quadrant would you be in?
Answer:
I think Quadrant 1. I;m not trying to just answer for the points
Step-by-step explanation:
List the next three numbers for the sequence:
34, 102, 408, 2040, ...
Answer:
12240
85680
685440
Step-by-step explanation:
We know that the sequence is growing rapidly
To see how rapidly divide the second term by the first term
102/34 =3
Check the third term divided by the second term
408/102 =4
Check the fourth term divided by the third term
2040/408=5
To get the second term, multiply by 3, to get the third term multiply by 4
to get the fourth term multiply by 5
to get the nth term multiply by (n+1)
The 5th term would be multiplied by 6
2040 *6 =12240
The 6th term by 7
12240*7=85680
The 7th term by 8
85680*8=685440
please help me with this one
Answer:
a: 500in squared
Step-by-step explanation:
A=(a+b)/2 x h.
19+31=50
50/2=25
25×20=500
2a + 3b = 5
b= a - 5
Answer:
I'm not sure but I thing the answer is 10
Step-by-step explanation:
You want to make five-letter codes that use the letters A, F, E, R, and without repeating any letter. What is the probability that a randomly chosen
code starts with Mand ends with E?
Answer:
Probability [chosen code starts with M and ends with E] = 0.05
Step-by-step explanation:
Given:
Total alphabet = A, F, E, R, and M
Creating name without repeat
Find:
Probability [chosen code starts with M and ends with E]
Computation:
Probability Name start with M = 1 / 5
Probability Name start with E = 1 / (5-1)
Probability Name start with E = 1 / 4
Probability [chosen code starts with M and ends with E] = Probability Name start with M x Probability Name start with E
Probability [chosen code starts with M and ends with E] = (1/5)(1/4)
Probability [chosen code starts with M and ends with E] = 1 / 20
Probability [chosen code starts with M and ends with E] = 0.05
please help me with this, very important kuhdfeyjehfskjb 20 points
Formula for volume of a rectangular prism
Volume = length * width * height
Volume = 4 * 2 * 3
Volume = 24 cubic cm
I hope this helps :)
Mr. Carr is hiring a plumber to repair his sink. The cost of Plumber T is shown in the table.
A table titled Plumber T Costs is shown. It has three columns and two rows. Row one is labeled Hours, h. Row two is labeled Cost, c. One hour, one hundred twenty-eight dollars. Two hours, two hundred fifteen dollars. Three hours, three hundred two dollars.
Part A. What is the initial cost and hourly rate of Plumber T?
Part B. Write an equation to represent the function shown in the table.
Part C. Plumber W charges $95 per hour and an additional $32 for the parts needed. What is the difference in cost between Plumber W and Plumber T if the repair Mr. Carr needs takes 5 hours?
Enter the correct answers in the boxes.
A. Initial cost: $
Rate per hour: $
B. Equation:
C. Difference in cost: $
The hourly rate of plumber T is $87 per hour and have an initial cost of $41.
Linear equationLinear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial amount.
From the table, using points (1, 128) and (2, 215):
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-128=\frac{215-128}{2-1}(x-1)\\ \\y= 87x+41[/tex]
The hourly rate of plumber T is $87 per hour and have an initial cost of $41.
Find out more on Linear equation at: https://brainly.com/question/14323743
Answer:
Initial cost: $ 41
Rate per hour: $87
Equation: y=87x+41
Step-by-step explanation:
Sorry I do not know the difference in cost.
SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3 which graph is an example of a function??
Answer:
The middle one because there is only 1 value of y for every value of x.
Liam puts 40$ in savings in March and 175% of this amount in savings in April. How much does Liam put in savings in April?
Answer:
$70
Step-by-step explanation:
You want 175% of $40.
175% as a decimal = 1.75
1.75 times 40 = 70
Therefore Liam put $70 in savings in April
Answer:
70
Step-by-step explanation:
Multiply 40$ by 175% :)
6. Roberta started the year with $125 in a savings account. She has been adding money at a rate of $15 per week. Write an equation in the form y = mx + b that represents the total amount of money (y) in the account after x weeks.
Answer:
y=15x+125
Step-by-step explanation:
Hope this helps!
The Box-and-Whisker Plot represents the ages of 40 people who responded to a telephone survey.
Which statement is true about this data set?
A. About 50% of the respondents were at or between 40 and 67.5 years old.
B. The range of the data is 84 years.
C. The outlier is 28 years.
D. The mean is 51 years.
Answer:
'A' is true; theoretically, 50% of the data items reside between the first and third quartiles (40 and 67.5)
Step-by-step explanation:
Range is 84-28 which is 56
Median is 51
1.5 x Interquartile Range (IQR) = 1.5(67.5-40) which equals 41.25
Q1 is 40
Q1 - IQR = -1.25
Low outliers are below -1.25 - 41.25; there are not data items below -42
Answer:
'A' is true; theoretically, 50% of the data items reside between the first and third quartiles (40 and 67.5)
Step-by-step explanation:
Range is 84-28 which is 56
Median is 51
1.5 x Interquartile Range (IQR) = 1.5(67.5-40) which equals 41.25
Q1 is 40
Q1 - IQR = -1.25
Low outliers are below -1.25 - 41.25; there are not data items below -42
Lorena purchased a fish tank in the shape of a cube with sides 18 inches in length. What is the distance between the opposite corners of the front of the tank?
Answer:[tex]31.17\ in[/tex]
Step-by-step explanation:
Given
Edge length of cube is [tex]a=18\ in.[/tex]
From the figure, distance between the opposite corner of the tank is
[tex]\Rightarrow (xy)^2+(xz)^2=(yz)^2\\\Rightarrow a^2+(a\sqrt{2})^2=(yz)^2\\\Rightarrow (yz)^2=3a^2\\\Rightarrow (yz)^2=3\times (18)^2\\\Rightarrow yz=18\sqrt{3}\\\Rightarrow yz=31.17\ in.[/tex]
Therefore, the length of the opposite corners is [tex]31.17\ in[/tex]
hey! i’ll give brainliest please help
Answer:
The second option, external conflict w/other citizens who don't want the Cinema.
Step-by-step explanation:
Which of the following is (−5x + 4) − (3x2 − 7x + 4) simplified and written in standard form?
A. 3x2 − 12x + 8
B. 2x − 3x2
C. −3x2 + 7x − 5x
D. −3x2 + 2x
Answer:
D)
Step-by-step explanation:
-5x + 4 - 3x² + 7x - 4
-3x² + 2x
Answer:
(–5x + 4) – (3X²–7x + 4) = ( – 3x² + 2x )
Write a linear equation that intersects ytte points. Then willes second linear equation that intersecta y at just one point, and ther equation that does not intersecty Expten how you found the linear equations 40
Answer:
[tex](a)\ y = 2x +8[/tex]
[tex](b)\ y = 0[/tex]
[tex](c)\ y = -5[/tex]
Step-by-step explanation:
Given
[tex]y = x^2[/tex]
First, graph [tex]y = x^2[/tex] (See attachment)
We are not limited to any particular linear equation; as long as we meet the required condition
Solving (a): Equation of a line that intersects [tex]y = x^2[/tex] at two points
Select any two points on opposite sides of the curve
The selected points are:
[tex](x_1,y_1) = (-2,4)[/tex]
[tex](x_2,y_2) = (4,16)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{16 - 4}{4 - -2}[/tex]
[tex]m = \frac{12}{6}[/tex]
[tex]m = 2[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 2(x - -2) + 4[/tex]
[tex]y = 2(x +2) + 4[/tex]
Open bracket
[tex]y = 2x +4 + 4[/tex]
[tex]y = 2x +8[/tex]
Solving (b): Equation of a line that intersects [tex]y = x^2[/tex] at one point
A good illustration of this is x-axis
Because it intersects with the line at just one point, which is origin (0,0).
The equation of line at this point is:
[tex]y = 0[/tex]
Solving (c): Equation of a line that does not intersect [tex]y = x^2[/tex]
Here, we make use of any horizontal line below the x-axis
Select any two horizontal points below the x-axis
[tex](x_1,y_1) = (-5,-5)[/tex]
[tex](x_2,y_2) = (5,-5)[/tex]
Calculate slope
[tex]m = \frac{-5--5}{5--5}[/tex]
[tex]m = \frac{0}{10}[/tex]
[tex]m = 0[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 0(x - -5) + (-5)[/tex]
[tex]y = 0-5[/tex]
[tex]y = -5[/tex]
The diameter of a cylindrical construction pipe is 4ft . If the pipe is 24ft long, what is its volume
What is the mean for 46 47 52 55 64 69 70 78
answer: 60.125
step-by-step explanation:
46 + 47 + 52 + 55 + 64 + 69 + 70 + 78 is 481, then you divide it by the amount of numbers you have which is 8 and you get 60.125
SOMEONE PLEASE HELP ME
A pyramid has a base that is a right triangle with legs measuring 10 cm and 14 cm. The height of the pyramid is 9 cm.
The volume of the pyramid is ___ cubic cm.
Answer:
420 cm cubed
Step-by-step explanation:
not entirely sure how to do this, but saw a similar post. hope this helps:
https://brainly.com/question/22267794
(or u can copy + paste ur question it'll show up either way)
Find c. Determine it from the choices below.
Answer:
12 centimetres
Step-by-step explanation:
I looked it up
What is the probability of a baseball player getting three hits in a row if his batting average is 17.9%?
0.57%
53.7%
6.0%
17.9%
Step-by-step explanation:
Here batting average is 17.9% = 0.179
In baseball, a batting average is the probability of the number of hits divided by the number of t... do the rest