First, find the slope of the two points.
y2-y1/x2-x1
3+2/8-4
slope=5/3
Then use the point slope formula to create an equation
y-y1=m(x-x1)
y-3=5/3(x-8)
y-3=5/3x-40/3
y= 5/3x - 31/3
The equation of the line that passes through the points (4, -2) and (8, 3) is
y = (5/4)x - 7.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Points:
(4, -2) and (8, 3)
The equation of a line is y = mx + c.
m = (3 + 2)/(8 - 4)
m = 5/4
Now,
(4, -2) = (x, y)
-2 = 5/4 x 4 + c
-2 = 5 + c
c = -2 - 5
c = -7
Thus,
The equation of a line is y = (5/4)x - 7.
Learn more about equation of a line here:
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The table contains a hospital's probability distribution chart of the number of babies born per day for a week. Determine the missing probability in the distribution, and then answer this question: What percentage of time should a sufficient number of nurses be on duty to care for at least seven babies?
Answer: 62.5%
Step-by-step explanation:
The probability of more than seven babies being born on any given day is (0.4375 + 0.1875+0)= 0.625. So a sufficient number of nurses to be on duty to care for at least seven babies is needed 62.5% of the time.
please please help!!!!
Answer: see explanation
Step-by-step explanation:
the dolphin is the subjects
Swam is the verb
Young & near adjectives
near the is the prepositional phrase
Which of the following lists of ordered pairs is a function
A (0,2) (2,3) (0,-2) (4,1)
B (2,4)(0,2)(2,-4)(5,3)
C (1,6)(2,7)(4,9)(0,5)
D (1,2)(1,-2)(3,2)(3,4)
Woodhill Elementary School’s 3rd and 4th-grade classes are planning a joint field trip. There is a total of 464 students in these two grades and only 45 seats per bus. How many buses will be needed to fit all the students? Think carefully about your answer.
Step-by-step explanation:
i say you would multiply or add
How many planes appear in the figure?
Answer:
five planes appear in the figure
How can a diagram show you that corresponding parts of two triangles are congruent without providing specific angle measures or side lengths?
By using congruency definitions, we can show that corresponding parts of two triangles are congruent.
What is Congruent Triangles?Congruent triangles have the same corresponding angle measures and side lengths.
Given two triangles,
We can show that corresponding parts of two triangles are congruent by showing both the triangles congruent, then by CPCT we'll get the corresponding parts of congruent triangles are congruent.
Hence, By using congruency definitions, we can show that corresponding parts of two triangles are congruent.
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What is the slope between these two points? (2,6) ( 3, 9)
Answer:
Slope of line
[tex] \frac{y2 - y1}{x2 - x1} \\ \\ = \frac{9 - 6}{3 - 2} \\ \\ = 3[/tex]
The slope of line is 3.
1) through: (-2,4), slope = 0
how you do this??
Answer:
y = 4
Step-by-step explanation:
I assume you want to find the slope-intercept form of the given information.
We are given the slope and a point, so we can find the y-intercept.
y = 0x + b
4 = 0(-2) + b
4 = 0 + b
4 = b
Put everything we know/solved for back into the formula [ y = mx + b ]
y = 4
Best of Luck!
I need help i am taking a test i need help
Mary takes a flight from Arizona to Alaska. In Arizona, the temperature is 101°F, while in Alaska, the temperature is –11°F. What is the difference between the temperatures in Arizona and Alaska?
Answer:
91 degrees
Step-by-step explanation:
Identify the form of each equation. 7x + 5y = 8 is in (select) . y − 5 = 3 (x − 9) is in (select) . y = 7x + 9 is in (select) . 8x − 9y = −2 is in
Answer:
Let's define all the possible forms:
slope-intercept: y = a*x + b
point-slope: y - y1 = a*(x - x1) (where (x1, y1) is a point in the line)
standard form: a*x + b*y = c
then:
a) 7x + 5y = 8
This is in standard form.
b) y − 5 = 3*(x − 9)
This is in point slope form.
c) y = 7x + 9
This is in slope-intercept form.
d) 8x − 9y = −2
This is in standard form.
Use the Distributive Property to simplify each expression.
1.) 6(a - b)=
2.)t(t - 4)=
3.) 8(x + 7)=
4.) 73(9 - 6x)=
Answer:
1.) 6a - 6b
2.) 2t - 4t
3.) 8x + 56
4.) 657 + 438x
Step-by-step explanation:
1.) 6*a - 6*b
2.) t*t (2t because you're multiplying t by itself) - t*4
3.) 8*x + 8*7
4.) 73*9 - 73*6
* = times
Ex. 8 times 3 or 8*3
Find two numbers that multiply to be 12 and add up to be -8
Answer:-6 -2
Step-by-step explanation:
I NEED HELP ON THIS PLEASE
Answer:
m<5 = 120* because <5 and 120* are corresponding angles
Step-by-step explanation:
The regular price of the glove is $185. It is on sale for 15% off. Sales tax is 8%. What is the cost of the baseball glove after the discount and sales tax are applied?
Answer:
The answer is 33.3
Step-by-step explanation: I don't have time to explain
what is cos 60°? (ap3x)
Answer: 1/2
Step-by-step explanation:
Answer:
1/2 or .5
Step-by-step explanation:
cos(60) = .5
*Calculator must be in degree mode*
Proportionality math
Answer:
no bc the graph shows a slope of 12
Step-by-step explanation:
What is the approximate circumference of the circle shown below?
answer plsssssssssssssss
Answer:
no solutions
Step-by-step explanation:
there are no solutions
Answer:
no solution
Step-by-step explanation:
Find the slope of the line that passes through the points (0-2) and (1.4).
Answer:
m = 6
Step-by-step explanation:
[tex]m=\frac{rise}{run}=\frac{4+2}{1-0}=\frac{6}{1}=\boxed{6}[/tex]
Hope this helps!
Answer:
The slope is 6.
Step-by-step explanation:
Using rise over run or
[tex] \frac{rise}{run} [/tex]
you would enter 4-2/1-0 which would give you 6/1. So the answer would be 6 or m = 6.
Find the equation of this line
Answer:
y = 2x + 4
Step-by-step explanation:
The slope is 2/1 (or just 2) and the 4 is the y-intercept
Answer:
y = 2x + 4
Step-by-step explanation:
B is the y-intercept. The y-intercept of this graph is (0,4).
Rise over run, count up and to the right giving you 2/1 which equals 2.
Thus, y = 2x + 4
Helppppp is this correct or nottt
Answer:
Yes, you are correct.
Step-by-step explanation:
Have a great day!
At the grocery store grapes cost $2.55 for 2 pounds. At the farmers market grapes cost $3.55 for 3 pounds. What is the unit rate for each store? Which is ther better deal?
Answer:
farmer dude's
Step-by-step explanation:
U divide the price by the quantity. then you get unit. I did it for both n got 1.18 for farmers and 1.27 for the store's
I hope I got it right lol
A scale drawing of Coriane's bedroom floor is shown
below. All given dimensions are in feet, and all
intersecting line segments shown are perpendicular.
Corinne wants to completely cover the floor with
square hardwood tiles. Each tile has a side length of
I foot, and no tiles will be cut. How many tiles will
Corinne need to cover the floor?
6
9
A. 63
B. 69
C. 74
D. 79
E. 84
5
Answer:
answer is yes it does have some fun and easy way out
1.The ink made a huge _____
A.plain b.drain c.stain
2.the movie was so sad that I ____ A.tried b.cried c.pried
the moonlight____on the water
A.shone b.scone c.drone
4.she tried to ____everything into one suitcase
A.she b.gram c.cram
5.dont ____me for your mistakes.
A.flame b.blame c.shame
6.a reporter said that the____ rate is going down
A.grime b.drive c.crime
7.we saw a ____ of sheep in the meadow.
a.flock b.clock c.crock
8.some people like ____ about their good graders
A.drag b.shag c.brag
9.The acrobat did an amazing ____ on the high wire.
A.shunt b.stunt c.blunt
10.it was a _____ to meet the movie star
A.shrill b.trill c.thrill
11.there are many large stones and pebbles in that _____
A.stream b.sream c.dream
Answer:
1. C. Stain
2. B. Cried
3. A. Shone
4. C. Cram
5. B. Blame
6. C. Crime
7. A. Flock
8. C. Brag (and it should be "Some people like TO brag about their good grades.")
9. B. Stunt
10. C. Thrill
11. A. Stream
Hope This Helps!
Answer:
c
b
a
c
b
c
a
c
b
c
a
Step-by-step explanation:
can you guys hurry pls I only have 20 more minutes
150 is 25% of what number? Four students solved this problem using equivalent ratios. Choose the student whose
work is correct.
Liam's work
Yasmin's work
Bill's work
Isabella's work
part
part
part
whole
part
whole
О
whole
whole
25 x 6
100 x 6
150
600
25 x 6
150 x 6
150
900
100-5
25:5
20
5
150:6
1006
25
16.67
Answer:
it is a
Step-by-step explanation:
hop this helps i would appreciate it if you mark me brainlest
Pls Help! John wants to prove ABC = to DEF. He Knoes AB = DE and AC = DF. With Screenshot
Answer:
[tex] \angle A \cong \angle D [/tex]
Step-by-step explanation:
The Side-Angle-Side method cana only be used when information given shows that an included angle which is between two sides of a ∆, as well as the two sides of the ∆ are congruent to the included side and two sides of the other ∆.
Thus, since John already knows that [tex] \overline{AB} \cong \overline{DE} [/tex] and [tex] \overline{AC} \cong \overline{DF} [/tex], therefore, an additional information showing that the angle between [tex] \overline{AB} [/tex] and [tex] \overline{DE} [/tex] in ∆ABC is congruent to the angle between [tex] \overline{AC} [/tex] and [tex] \overline{DF} [/tex] in ∆DEF.
For John to prove that ∆ABC is congruent to ∆DEF using the Side-Angle-Side method, the additional information needed would be [tex] \angle A \cong \angle D [/tex].
See attachment for the diagram that has been drawn with the necessary information needed for John to prove that ∆ABC is congruent to ∆DEF.
Find the zeros of the quadratic function
Two stores have movies to rent.
The first store charges a $20 per-month membership fee plus $1.50 per movie rented.
The second store has no membership fee but charges $3.50 per movie rented.
How many movies would you have to rent in order for the cost to be the same at both stores?
Answer: 6 movies
Step-by-step explanation:
$20+$1.50= $21.50
$3.50x6= $21
5− 1/2x=y
m= _______ b=_________