1. A line goes through the points (7, 3) and (–1, 5). Write the equation of the line in point-slope form. Show your work for full credit. (How did you go from those two points to having the equation in point-slope form?)

Answers

Answer 1

Answer:

A line goes through the points (7, 3) and (–1, 5).

To find:

The equation of the line in point-slope form.

Solution:

The lines goes through the points (7, 3) and (–1, 5). So, slope of line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{5-3}{-1-7}[/tex]

[tex]m=\dfrac{2}{-8}[/tex]

[tex]m=-\dfrac{1}{4}[/tex]

So, slope of the line is [tex]m=-\dfrac{1}{4}[/tex].

Now,

Point slope  form of a line is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope and [tex](x_1,y_1)[/tex] is any point on the line.

If slope of line is [tex]m=-\dfrac{1}{4}[/tex] and the point is (7, 3), then point slope form of line is

[tex]y-3=-\dfrac{1}{4}(x-7)[/tex]

If slope of line is [tex]m=-\dfrac{1}{4}[/tex] and the point is (-1, 5), then point slope form of line is

[tex]y-5=-\dfrac{1}{4}(x-(-1))[/tex]

Therefore, the required equations are either [tex]y-3=-\dfrac{1}{4}(x-7)[/tex] or  [tex]y-5=-\dfrac{1}{4}(x-(-1))[/tex].


Related Questions

Solve this formula for the velocity for (d)

Show your work

Answers

Answer:

d = vt

Step-by-step explanation:

Step 1: Write equation

v = d/t

Step 2: Multiply both sides by t

vt = d

Step 3: Rewrite

d = vt

Daryl traveled 6,432 miles in 16 days. On average, how many miles per day did he travel?
O 40 miles
O 42 miles
O 402 miles
O 420 miles

Answers

the answer is 402 miles

Answer:

402 miles

Step-by-step explanation:

6,432 / 16 is 402

Can I get some help please

Answers

Answer:      12.5

              y = 12.5x

Step-by-step explanation:

k = y/x

  = 50/4

  = 12.5

Notice that you could have used:    62.5/5 = 12.5      or     75/6 = 12.5

The equation is: y = kx

                           y = 12.5x

1. Factor x²+5x-24
2. Factor 2n²-5n-3

Answers

Given problems;

 1. Factor;  x²+5x-24

To factor this equation, we must understand that this is a quadratic equation.

A quadratic equation usually has two roots.

Equate to zero;

            x²+5x-24 = 0

Then find two numbers whose product is -24 and their sum is +5

  the numbers are  +8 and -3

 then replace 5x with the number;

        x² + 8x - 3x - 24  = 0

Now factorize;

     x(x +8) - 3(x + 8) = 0

        (x-3)(x+8)  = 0

Factoring gives (x-3)(x+8)

2. Factor 2n² - 5n -3;

Equate to zero;

   2n² - 5n -3 = 0

Find the number whose sum is -5 and the product gives -6( 2 x -3);

      the number is -6 and +1;

   2n² - 6n + n -3 = 0

   2n(n-3) + 1(n-3) = 0

     (2n + 1)(n-3) = 0

The factor of the equation is (2n + 1)(n-3).

what is the GCF of 125 100 120​

Answers

Answer:

5

Step-by-step explanation:

A cyclist rode 3.75 miles in 0.3 hours.

How fast was she going in miles per hour?


At that rate, how long will it take her to go 4.5 miles?

Answers

Answer:

A. 12.5 miles per hour B. 0.36 hours

Step-by-step explanation:

3.75/.30=12.5 , so divide 3.75 by the time 0.30 hours and you get your miles per hour

next, take 4.5 and divide by the new mph 12.5 from your previous answer.

4.5/12.5=0.36 hours

Answer:

1.) 12.5 miles per hour 2.) 0.36 hours

hope it helped! <33 .

Step-by-step explanation:

try doing this 10th grade math problem.​

Answers

I tryed then gave up

9•(3•6)^2
I don’t seem to get this pls look at the picture

Answers

Answer:

2916

Step-by-step explanation:

I showed my work in the picture hope this helps...

how many are 16 x 16 ?​

Answers

Answer:

256

Step-by-step explanation:

16 ×16= 256

Hope it works out for you

Janet has $40. She gives $25 to Emma. What percent of
Janet's money does Emma have?
A
0.625%
B
1.60%
C
55%
D.
62.5%

Answers

Answer:

i think it's D. because 55% isn't enough, but very close, and 0.625% is waaaay too little, and the same for 1.60.

Step-by-step explanation:

estimation.

The percentage of Janet's money does Emma have is D. 62.5%.

Given that,

Janet has $40. She gives $25 to Emma.

Based on the above information, the calculation is as follows:

[tex]= \$25 \div \$40[/tex]

= 62.5%

Learn more; https://brainly.com/question/1605083?referrer=searchResults

The bottom of a ladder is 1.5 m from the base of a vertical wall. The gradient
of the ladder is 3. How far up does the top of the ladder touch the wall?

Answers

Answer:4.5Step-by-step explanation:Gradient is 33=1.5x3=4.5Hope you add me as brainliest.

In parallelogram ABCD if m

Answers

Answer:

no idea what the answer is

What even is the question?

find the area of the right triangle.

Answers

Answer:

well its 2 across and 5 up and down

so you take 2 times 5 to get 10 but sense its a triangle you have to divide by 2  so the answer would be 10 divided by 2= 5 units squared

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The area of each square is equal to 1.

We can see that two triangles could form a rectangle with 10 units of area, so it's just divide it.

10/2=5units

Hope this helps.

W = F(r + A); Solve for r

Answers

Answer:

W/F - A = r

Step-by-step explanation:

W = F(r + A)

Divide each side by F

W/F = F/F(r + A)

W/F = (r + A)

Subtract A

W/F - A = r+A-A

W/F - A = r

K and m are prime numbers .

K² + m = 23

Find k and m

Mention the steps for brainliest plz :)

Answers

Answer:

I think k = 2 and m = 19

and I also think in order to mention the steps there must be another clue or equation

PLZ HELP ASAP!!! WILL MARK BRAINLIEST!!Select all that apply. Which of the following expressions have a quotient of -1/7

1/7

(-1)/(-7)

(-1)/7

-(1/7)

1/(-7)

Answers

Answer:

(-1)/7

1/(-7)

-(1/7)

These two equations will be equal to -1/7 as

(-1)/7=-1/7

1/(-7)=-1/7(THE SIGN OF THE DENOMINATOR WILL BE GIVEN TO THE NUMERATOR IF NEGATIVE)

-(1/7)=-1/7 (When we avoid the bracket the answer will be equalent)

Answer:

it's a,c,d like if this helps

Which statement is true?

Answers

Answer: C. A line that rises from left to right has a positive slope.

Step-by-step explanation: A. has a slope of 0, B. has an undefined slope, and D. is supposed to go left to right not right to left.

3
Evaluate :
5 12
х
12 21
[tex] \frac{5}{12} \times \frac{12}{21} [/tex]

Answers

Step-by-step explanation:

I think 5/21 is the answer when you multiply 5/12 and 12/21

The answer is....

5/21

is -4x - 5=6-11x one solution, no solution or infinitely Many
Solutions?

Answers

Answer:

one solution x = 11/7 hope this can help you!

ASAP AND FOR BRAINLIEST 20 POINTSSolve for the variable in the following proportion. 5/25=m25

Answers

Answer:

m = 1 /25 √ 5

Step-by-step explanation:

Can someone help me with answer 8 plz and explanation I’ll give brainlist and points

Answers

Answer:

a = 7.5

Step-by-step explanation:

7*3(2a-1) over 7 = 6.7

(2a-1) = 42/3

2a-1=14

2a=13

a=7.5

I hope this helps you out!

Answer:

put 6 over 1 then look for the LCM of 7 and 1 the LCM is 7 then ask yourself how times does seven go into 7 one time right so multiply 1 by 3(2a - 1) then ask yourself how many times does 1 go into 7 it goes 7 times right multiply 7 by 6 so your equation is like this 3(2a - 1) = 42 open the bracket so it will be 6a - 3 = 42 collect the like terms so 3a = 42+3, 3a =45 , divide both sides by 3 so x =15

What is the sum for -1 4/5 + (-3)

Answers

Answer: -4 4/5

Step-by-step explanation: You would just subtract 3 from -1.

Please help me with this please :(

Answers

Answer:

-4/3

Step-by-step explanation:

The second with the mistake is that

-4 minus 2 would be -6

PLZ HELP MEEEE!!!!!!!!!!!!!!!

Answers

Answer:

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.

Step-by-step explanation:

1) The product of a number and -7 is 63

2) 10 subtracted from a number is 15

3) two-fifths of a number is -12

4) 8% of a number is 20

5) the sum of twice a number and 17 is -1

6) nine less than the product of a number and -4 is 35

Answers

Step-by-step explanation:

let the no. be x

for 1,

x× -7 = 63

or, x= 63 ÷ -7

or, x = -9

therefore -9times -7 is 63.

for 2

by question

x -10= 15

or, x = 15+10

or, x = 25

therefore 25 minus 10 equals 15.

for 3

by question

(2/5) of x = -12

or, x = -12×(5/2)

r, x= -6×5

or, x = -30

therefore 2/5 of -30 is -12

for 4

by question,

8%of x = 20

or, 8x/100=20

or, 8x = 20×100

or, x = 2000÷8

or, x= 250

therefore 8% of 250 is 20.

for 5

by question,

2x+17 = -1

or, 2x = -1 -17

or, 2x = -18

or, x = -18 ÷ 2

or, x =-9

therefore -9 times 2 plus 17 equals -1.

for 6 dont know

which of the following is the standard form of 36 / 24​

Answers

Answer:

15 x 10^-1

Step-by-step explanation:

36÷24=1.5

In this case I'm considering 15 as the base of my standard form.

To make 15 a 1.5, you'll have to move from right to left one unit and on the number line moving from the right to left gives you a negative number of units moved

1. At Chesterfield Town Center, Alex is at the Barnes and Noble at coordinates (-10,9) and Jeff is at the Macy's which is at (4,-6). They decide to meet for lunch in the food court which is halfway between their locations. What are the coordinates of the food court?​

Answers

Answer:

(-1,-1)

Step-by-step explanation:

The easiest way I know how to explain it is you put the numbers on a line for instance

-6, -5,-4,-3,-2,-1,0,1,2,3,4

and the number in the very middle of the y then for x

-10,-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9

and then again you use the midpoint for the x

because they are trying to meet each other half way you are trying to find the midpoint.

Add:
1. 258 and -453
2. -528 and -243
3. -13 and 15

Subtract:
1. -3 from 12
2. 4 from -7
3. -8 from -2
4. 329 from -124

Answers

Answer:

1. -195

2.-771

3. 2

1. 9

2.-3

3. -10

4. 205

Step-by-step explanation:

Answer:

Add:

1. 258 and -453

=258 -453

= -195

2.-528 and -243

= -528 + (-243)

= -538 -243

= - (528+243)

= -771

3.-13 and 15

= -13 + 15

= 2

Subtract:

1. -3 from 12

= 12 - (-3)

= 12+3

=15

2. 4 from -7

= 4 - (-7)

= 4+7

= -11

3. -8 from -2

= -8 - (-2)

= -8+2

= 6

4.329 from -124

= 329 - (-124)

= 329 + 124

= -453

Step-by-step explanation:

Hope it helps!

A rectangular school gym is divided for a fair by bisecting its width and its length. Each half of the length is then​ bisected again, forming 8 sections in all. One side is 1.5x ft long the other is x ft long the perimeter is 300ft.

What are the dimensions of each section?

What is the area of each section?

Answers

Each section is approximately 5.3 in width and 7.1 in length (that’s what I got from all the scribbling I did I hope my answer is helpful in some way )

99 x 101

)
[tex]99 \times {101}^{2} [/tex]

Answers

1,009,899
Is 99 x101 to the second power

Step-by-step explanation:

i hope i have been useful buddy.

good luck ♥️♥️♥️♥️♥️.

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