Mathematics High School

Find the equation of the line passing through the points (0,7) and (5,-3).
​

Answers

Answer 1

Answer:

y = - 2x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (5, - 3 )

m = [tex]\frac{-3-7}{5-0}[/tex] = [tex]\frac{-10}{5}[/tex] = - 2

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = - 2x + 7 ← equation of line

Related Questions

Find the slope of the line from the points and the graph.
15. (2,4) and (5, 13)
16. (4,5) and (9,-3)

Answers

(2,4) and (5,13) is m=-1/3 and (4,5) and (9,-3) is m=-8/5

Answer:

15. m=3 16. m=-8/5 or -1.6

Step-by-step explanation:

The formula for slope is m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

so for #15

[tex]\frac{13-4}{5-2}[/tex]=[tex]\frac{9}{3}[/tex]=3

and for #16

[tex]\frac{-3-5}{9-4}[/tex]=[tex]\frac{-8}{5}[/tex]=-1.6

hehehehehehhhehehe help

Answers

Answer:

Y=2

Step-by-step explanation:

If x=3 we can see that every two lines is 1 number up then the last

same for y access. Y=-2

Answer:

-2

Step-by-step explanation:

Find the equation of the linear function represented by the table below in slope-intercept form.

Answers

Answer:

y = 2x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, - 9) and (x₂, y₂ ) = (13, 21) ← 2 ordered pairs from the table

m = [tex]\frac{21-(-9)}{13-(-2)}[/tex] = [tex]\frac{21+9}{13+2}[/tex] = [tex]\frac{30}{15}[/tex] = 2 , then

y = 2x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (3, 1 )

1 = 6 + c ⇒ c = 1 - 6 = - 5

y = 2x - 5 ← equation of linear function

A runing track is 400m long. Carrie runs wight laps. How far is this in kilometres.

Answers

Multiply length of track by number of times run:

8 x 400 = 3,200 meters

1 km = 1000 meters

3200 meters / 1000 = 3.2 kilometers

Answer: 3.2 kilometers

A car travels 15 km in 13 minutes. What is its average speed in km/h?

Answers

Answer:

69.45 km/h

Step-by-step explanation:

Speed = Distance/Time=> Speed = 15 km ÷ 13/60 => Speed = 15 km ÷ 0.216=> Speed = 15 km/0.216=> Speed = 15 x 4.63/0.216 x 4.63=> Speed = 69.45 km/1 h (Approximate)

Conclusion:

Therefore, the speed is 69.45 km/h (Approximate)

Hoped this helped.

help me please
If an item is 40% off with an additional 20% off on top of the sale price, what is the percent savings?

Answers

Answer: 60%

Step-by-step explanation: if the question is saying the item was already 40% an ADDITIONAL (adding) 20% will make the item 60% off meaning your percentage of savings is 60%

Which variable is most important in this problem? Sal ordered 20 T-shirts for the graphic design club. After tax, the cost of each T-shirt was $25. How much did the T-shirts cost in all?​

Answers

A is the answer the total coast of t shirts

Please answer my question

Answers

Answer:

y=14x

Step-by-step explanation:

Solve for u. (u + 6)(u − 6) = 0

Answers

Answer:

u= 6, -6

Step-by-step explanation:

simplify the equation. Isolate the variable.

Hey there!

(u + 6)(u − 6) = 0

DISTRIBUTE “u” WITHIN the PARENTHESES

u(u) + (-6) + 6(u) + 6(-6) = 0

u^2 - 6u + 6u - 36 = 0

COMBINE the LIKE TERMS

u^2 - 36 = 0

ADD 36 to BOTH SIDES

u^2 - 36 + 36 = 0 + 36

CANCEL out: -36 + 36 because it gives you 0

KEEP: 0 + 36 because it helps solve for the u-value

NEW EQUATION: u^2 = 0 + 36

SIMPLIFY IT!

0 + 36 = 36

NEW EQUATION: u^2 = 36

TAKE the SQUARE ROOT

u = ± √36

u = -6 or u = 6

Therefore, your answer is: u = 6 or u = -6

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Craig sells cabinets at a 600% percent markup from the cost of materials. He spent $2000.00 on the materials for cabinets he just built. What will be the price he sells those cabinets for?

Answers

Answer:

3781

Step-by-step explanation:

80 hours × $18=$1440 for labor. 1440+15%(1440×.15)=$216.00 + material cost=$2125

(2125.00+1440.00+216=3781)

1+1 pls omg its impossible

Answers

Answer:

it equals 11 haha !

Step-by-step explanation:

have a great day/night :)

Answer:

2

Step-by-step explanation:

1 + 1 = 2

This is because one digit (1) is being added to another one digit (1), giving the answer of two digits, or 2.

what is 0.1 is 1/10 of what number???

Answers

0.1 of 1/10 is...10.

Answer: 1

Step-by-step explanation:

0.1 is 1/10 of the number 1

Brainliest please? Im trying to get to Virtuoso

C. Because slope =
rise over run the slope of a "downhill" line must be
run

Answers

I can’t find the question what is it

Pleaseeeeee help! I don’t understand and I just wanna go to sleep but this is due in 35 minutes

Answers

Answer:

69

Step-by-step explanation:

it is 69 becuase 4x-7+11x-8 equals 69

We have: 2.(4x - 7)° + 2(11x - 8)° = 360°

So: 8x - 14 + 22x - 16 = 360°

<=> 30x - 30 = 360°

<=> 30(x - 1) = 360°

<=> x - 1 = 12

<=> x = 13°

We know: ∠G = ∠F = (11x - 8)° = ( 11.13-8)° = 135°

The answer: ∠G = 135°

Ok done. Thank to me :>

What is the slope of the line2y+x=-3. Write your answer in simplest form.

Answers

Answer:

x+2y=-3

Step-by-step explanation:

Find the missing base.
Write your answer as a whole number.
?^2=36

Answers

Answer:

6

Step-by-step explanation:

6^2 = 36

hope this helps! :D

have a miraculous day!! <3

Convert the following from factored form to standard form.



f\left(x\right)=\left(x+5\right)\left(x-1\right)f(x)=(x+5)(x−1)

Answers

Answer:

the mmic is back still swords rund eep

Step-by-step explanation:

4. A certain bacteria strain of E. coli divides every 30 minutes. If 500 bacteria are presen
in the culture to start, how many are in the culture after 3 hours?

Answers

Answer:

assuming its dividing by two, 7.8135

Step-by-step explanation:

if you're dividing by something else the answer will be different. hope this helps

Please Help ASAP!!
Full work shown gets brainliest!!

Answers

Answer:

LR = 17

Step-by-step explanation:

RP is one section of LP (the whole section). Since R is the midpoint of the segment, RP = LR. Hope this helps!


8. A 20 point test was given to two classes. Each class had results shown in the box plots below. Which of the
two classes has the greater interquartile range?

Answers

the first class has the greater interquartile range.

HELP ! Will give brainliest

Answers

Answer:

look it up thats what i do

Step-by-step explanation:

1 is increasing because its going up, 2 is constant since it doesn’t move anywhere, 3 is decreasing because its going down , 4 is constant not moving anywhere like 2 and 5 is decreasing going down graph is non- linear

jill spent $215.70 on books. math books cost $28.50 and english books cost 21.70. if she bought a total of 9 then how many of each kind did she buy

Answers

Jill bought 3 Math books and 6 English books.

Solve for the variable 2y<14 A) y<12 B) y>-7 C) y>7 D) y<7

Answers

Answer:

D) y < 7

Step-by-step explanation:

So we have 2y < 14:

To solve, we will simply divide by 2 on both sides in order to isolate the y value. Now we have y < 7.

Hope this helps you :)

What is the L.C.M of 45 80 and 135

Answers

Answer:

LCM = 2160

Step-by-step explanation:

lcm of 45 80 and 125 is 2160 because LCM = 2160

Answer:

the answer is (that I found) is 2160

In triangle QRS the measure of angle RSQ is 50 degrees , and the measure of angle QRS is 37 degrees. What is the measure of angle SQR in degrees?

Answers

Answer:

[tex] < rsq + < qrs + sqr = 180 \\ 50 + 37 + < sqr = 180 \\ < sqr = 180 - (50 + 37) \\ < sqr = 180 - 87 \\ = 93[/tex]

I hope it helps you

Bethany is working her way through school. She works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hour, and Job B pays $7.10 per hour. How many hours did she work at each job the week that she made $143.70.

Answers

Step-by-step explanation:

x = number of hours A

y = number of hours B

x + y = 23

5.7x + 7.1y = 143.7

from the first equation we get

x = 23 - y

this we use in the second

5.7×(23 - y) + 7.1y = 143.7

131.1 - 5.7y + 7.1y = 143.7

1.4y = 12.6

y = 12.6/1.4 = 9

x = 23 - y = 23 - 9 = 14

she worked 14 hours on job A and 9 hours on job B.

What are some possible solutions for the following?

Answers

Answer:

After solving the problem, the answer is x>1/2. However I do not see the answer choice provided so I do not know the answer to the question

Step-by-step explanation:

PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL


A 10 cm cube is built from small cubes, each 1 cm on an edge. Write a ratio that compares the edge lengths of the large and small cubes.
2:1
3:1
11:1
10:1

Answers

Answer:

10:1

Step-by-step explanation:

This ratio is N to n for all answers. (N = Larger than n, n = Smaller than N)

Look at the Larger number. (10)

Look at the Smaller number. (1)

Turn 10 and 1 into a ratio. (10:1)

basic help :(
its math

Answers

Answer:

the slope or rate of change is 8 over 6 or 4 over 3 4/3

Answer:

the slope or rate of change is 8 over 6 or 4 over 3 4/3

Step-by-step explanation:

Which are the intercepts of the equation y+2=4(x+1) ?

Answers

Answer:

y=2×5

Step-by-step explanation:

sorry if im wrong

It believe is Y=4x+2
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