If the slope of a line and a point on the line are​ known, the equation of the line can be found using the​ slope-intercept form, y = mx + b. To do​ so, substitute the value of the slope and the values of x and y using the coordinates of the given​ point, then determine the value of b. Using the above​ technique, find the equation of the line containing the points (-4,7) and (2,-2).
What is the equation of the line?

(Simplify your answer. Type your answer in​ slope-intercept form. Use integers or fractions for any numbers in the​ equation.)

Answers

Answer 1

Answer:

y=-3/2x+1

Step-by-step explanation:

NOTE: Doing graphs by hand is a lot easier, it saves a lot more time as well.

Step 1: plot your 2 known points.

Step 2: draw a line that goes between both points

Step 3: find the distance of the points in RISE/RUN format.

-9/6. The slope is negative because the line goes down to the right.

Step 4: find your y-intercept.

1.

Step 5: simplify your equation

-9/6 = -3/2


Related Questions

How do you solve for x and y. Thanks!!




Kinda urgent sorry..

Answers

Answer:

x= 17.5

y= 35

Step-by-step explanation:

Steps are in attachment.

Answer:

• For x (Acute angle property)

[tex]{ \rm{(2x + 10) \degree + 30 \degree + 6x=180 \degree}} \\ \\ { \rm{8x + 40=180}} \\ \\ { \rm{8x = 140}} \\ \\ { \boxed{ \underline{ \rm{ \: \: x =17.5 \: \: }}}}[/tex]

• For y ( Interior angle sum of triangles )

[tex]{ \rm{(y + 10) \degree + 6x \degree + 30 \degree = 180 \degree}} \\ \\ { \rm{y + 10 + 30 + (6 \times 17.5) = 180}} \\ \\ { \rm{y +145 = 180 }} \\ \\ { \boxed{ \underline{ \rm{ \: \: y = 35 \: \: }}}}[/tex]

matt is buying jeans and sweaters for his younger brothers. each pair of jeans will cost 22.50 and each sweater will cost 12.50. if matt spends a total of $200 at the clothing store and buys 12 articles of clothing, how many pairs of jeans and how many sweaters did he buy? you must create and solve the system for points

Answers

Answer:  220

Step-by-step explanation:

A- 22.50 x 12 = 270

B- 12.50 x 12 = 150

C- 270 + 150 - 200 = 220

ANSWER- 220

what is the volume of the prism?

Answers

Answer:

Step-by-step explanation:

h = 3 ft

l*b = 25 sq.ft

Volume = l*b *h

             = 25 * 3

             = 75 cubic feet

Answer:

75ft

Step-by-step explanation:

First you mupilply  [tex]25 x 3 = 75ft[/tex]

and that is it.

Show that:
[tex]\bigg(\frac{ \sqrt{7} + i \sqrt{3} }{\sqrt{7} - i \sqrt{3} } + {\frac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } } \bigg) \: is \: real \\ [/tex]
Please answer this question.​

Answers

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

Consider,

[tex]\rm \longmapsto\:\dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } [/tex]

On taking LCM, we get

[tex]\rm \:  =  \: \dfrac{ {( \sqrt{7} + i \sqrt{3})}^{2} + {( \sqrt{7} - i \sqrt{3})}^{2} }{( \sqrt{7} + i \sqrt{3})( \sqrt{7} - i \sqrt{3})} [/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {(x + y)}^{2} + {(x - y)}^{2} = 2( {x}^{2} + {y}^{2})}}} \\ [/tex]

and

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ (x + y)(x - y) = {x}^{2} - {y}^{2} \: }}} \\ [/tex]

So, using these Identities, we get

[tex]\rm \:  =  \: \dfrac{2\bigg[ {( \sqrt{7})}^{2} + {(i \sqrt{3}) }^{2} \bigg]}{ {( \sqrt{7}) }^{2} - {(i \sqrt{3})}^{2} } [/tex]

[tex]\rm \:  =  \: \dfrac{2(7 + 3 {i}^{2})}{7 - {3i}^{2} } [/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {i}^{2} = - 1}}} \\ [/tex]

So, using this, we get

[tex]\rm \:  =  \: \dfrac{2(7 - 3)}{7 + 3} [/tex]

[tex]\rm \:  =  \: \dfrac{2 \times 4}{10} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{5} [/tex]

Hence,

[tex] \red{\rm\implies \:\boxed{\sf{ \dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } \: is \: purely \: real}}}[/tex]

can somebody help me with these 2 questions plz

Answers

Answer:

1) 14/3 (D)

2) -0.6 (C)

Step-by-step explanation:

1) 5-(2/3)*(2/3//4/3)

2)|-1.2-2.03|-2.03/-2

Help please due today

Answers

Answer:

Line a. goes to table 3, line b. goes to table 2, and line c. goes to table 1.

Step-by-step explanation:

Here are the 3 lines graphed (I even labeled each for you) so you can have a bit of a visual.

Hopefully you can find the points on each graph.

(Hint: The x row represents the x coordinate of an ordered pair, and the y row represents the y coordinate of an ordered pair.)

Ordered pairs look like this btw (x,y)

Hope this helps :)

suppose 48 out of every 120 people like baseball. of the people who like baseball 3 out of 5 play base ball if you ask 500 people how many would play baseball

Answers

Answer:

120 people would play

Step-by-step explanation:

If you translated the point a (4,-3) left 2 units and down 6 units where is A

Answers

It would be (-2, 1)

3/4+x=2x-x+ ?(need answer)

Answers

Answer:(x - 4)(2x + 3)

FOIL = first,outside,inside,last

F -- so multiply first terms in each set....(x)(2x)

O -- multiply outside terms in each set...(3)(x)

I -- multiply inside terms in each set....(-4)(2x)

L -- multiply last terms in each set.......(-4)(3)

Step-by-step explanation:

Write the equation of the line in point-slope form.

Answers

Answer:

y= 4/3x+2

Step-by-step explanation:

the y intercept is at 2 and you do rise over run for m

Which type of parent function is f(x) = ?
A. Square root
B. Reciprocal
C. Quadratic
D. Cube root
SUNMIT

Answers

Answer:

Write properties of function:

x intercept/zero: x = 0

Step-by-step explanation:

Write properties of function: Write properties of function:

x intercept/zero:  x = 0

Answer: Write properties of function:

x intercept/zero: x = 0

The maximum throwing speeds of pitchers on one team are shown in the table.

A 1-column table with 6 rows. Column 1 is labeled Maximum pitching speed (miles per hour) with entries 75, 60, 63, 51, 45, 48.

The mean of the data set shown in the table is 57. What is the mean absolute deviation?
6
9
9.5
12

Answers

The answer is 9 trust big dawg, muyayno

Answer:

9

Step-by-step explanation:

Evaluate 7 10 × 4 5 Give your answer in its simplest form.

Answers

289254654976 if the 7 10 is to the power of not quite sure what you’re supposed to do with the 7 and 10 and 4 and 5

May I please receive help?
Please????

Answers

Answer:

<1=23

Step-by-step explanation:

If WXZ contains both <1 and <2, and <2 is 4 times <1, then we can set this up as x + 4x = 115

This is easily simplified to 5x = 115

Divide both sides by 5 and you will get x=23

Kirsty is making a fruit drink for 9 people. How many oranges does she use?

Answers

Answer:

9

Step-by-step explanation:

Kristy uses 9 oranges.

What are the values of each Halloween icon? (Math Logic Puzzles)

Answers

Witch hat = 5

Jack o' lantern = 2

Ghost = 7

Witch Pot = 10

7 x 5 = 35 + 5 = 40

10 x 2 = 20 + 2 = 22

7 + 10 = 17 + 10 = 27

2 x 5 = 10 + 7 = 17

7 + 7 = 14 + 5 = 19

1. 7x5+5=40

2. 10x2+2=22

3. 7+10+10=27

4. 2x5+7=17

5. 7+7+5=19

The sides of a square have length s. Write a formula for the perimeter P of the square. Write a formula for the area A of the square.

Answers

Answer:

a

Step-by-step explanation:

Round each number to the nearest ten 24. 311. 107

Answers

Answer:

24-20   311-310     107-110

Step-by-step explanation:

Answer:

nearest tenth

......

24= 20

311=310

107=110..........

how to solve

2(x+6)=4

x=?

Answers

Answer:

[tex]x=-4[/tex]

Step-by-step explanation:

[tex]2(x+6)=4~(Given)\\\\2x+12=4~(Distribute~2~to~x+6)\\\\2x+12-12=4-12~(Subtract~12~on~both~sides)\\\\2x=-8~(Simplify)\\\\\frac{2x}{2}=\frac{-8}{2}~(Divide~2~on~both~sides)\\\\x=-4~(Simplify)[/tex]

Answer:

[tex]\boxed {x=-4}[/tex]

Step-by-step explanation:

[tex]2(x+6)=4[/tex]

Divide both sides by 2 :

[tex]\cfrac{2\left(x+6\right)}{2}=\cfrac{4}{2}[/tex][tex]x+6=2[/tex]

Subtract 6 from both sides:

[tex]x+6-6=2-6[/tex][tex]x=-4[/tex]

______________________

fill in the blank
( ___-2a)^2=9b^2-___+___

Answers

Answer:

(3b-2a)^2=9b^2-12ab+4a^2

Step-by-step explanation:

Using the formula (a-b)^2=a^2-2ab-b^2, you can plug in the values to get your answer. (Sorry I can't really explain more, it's just using the formula. Hope this helps)

Find the circumference of a wheel whose radius is 35cm. Find the distance covered in 60 seconds ,if it revolves 5 times per second​

Answers

Answer:

hey I hope this is clear

Step-by-step explanation:

HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

Commutative Property

Step-by-step explanation:

Hope it helps. Please mark me brainliest if you would :D

The number 356 is between which pair of numbers? a. 340 and 350 b. 350 and 360 c. 360 and 370 d. 370 and 380​

Answers

B. 350, 351, 352, 353, 354, 355, ‘356’, 357, 358, 259, 360

Helppppppp pleaseee tyy smmm

Answers

Answer: 56

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Simplify 3a^2-a^2 pleassssewwwwwww

Answers

Answer:

2a^2

Step-by-step explanation:

Jerry played with 3 friends today, all at different times. He played with Tommy for 1 7/8 hours, then Nathan for 1 3/4 hours, then Chris for 3/2 hours.
How many hours did Jerry play with his 3 friends today?

Answers

Answer:

4hrs 7 minutes and 30 seconds

Step-by-step explanation:

1 7/8 = (1=60) + (7/8 * 60) = 1 : 52:50 time played with Tommy   1 3/4 = (1=60 ) ( (3/4 * 60) = 1:45:00 time played with Nathan   3/2 = (3/2 *60) = 90 = 1:30:00 time played with Chris    Total played with 3 friends = 1:52:50 + 1:45:00+1:30:00= 4:07:50 = 4hrs 7 minutes and 30 seconds

Solve the quadratic equation numerically (using tables of x- and y-values).
x2 + 9x + 18 = 0
a. x = 6 or x = 2
c. x = -6 or x = -3
b. x = 6 or x = -3
d. X = 6 or x = -1

Answers

Answer:

Third Option: [tex]x=6[/tex] or [tex]x=-3[/tex]

Step-by-step explanation:

[tex]x^2+9x+18=0[/tex]

[tex](x+6)(x+3)=0[/tex]

[tex]x=6[/tex] or [tex]x=-3[/tex]

Whose sequence proves triangle ABC is congruent to triangle DEF? Why?

Answers

Answer:

If you are doing the same assignment as me then you probably have to choose between either Chanel or Preston and if my math is correct than the right answer would be Chanel.

pls help don't send links​

Answers

Answer:

there is not any correct answer among the options.

the answer is

[tex] \frac{ - 21}{45} [/tex]

Simplify the expression!

-7/15

maths help me maths giving 10 point​

Answers

Well because prime numbers are prime none of them divide evenly by four but the ones that are divided by 4 and less than 3 are, 2,3,5,7,11.
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