1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
postnew [5]
3 years ago
13

(6,2),(9,r),m=-1 find the value of r

Mathematics
1 answer:
Bond [772]3 years ago
4 0

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (6, 2) and (9, r), the slope m = -1. Substitute:

-1=\dfrac{r-2}{9-6}\\\\-1=\dfrac{r-2}{3}\qquad\text{multiply both sides by 3}\\\\-3=r-2\qquad\text{add 2 to both sides}\\\\\boxed{r=-1}

You might be interested in
15x-7=2+12x I need help with this
Amanda [17]

Answer:

\huge{ \boxed{ \bold{ \tt{x = 3}}}}

<h3>♁ Question : Solve for x</h3>
  • 15x - 7 = 2 + 12x

<h3>♁ Step - by - step explanation</h3>
  • \text{15x - 7 = 2 + 12x}

Move 12x to L.H.S ( Left Hand Side ) and change it's sign

➛\sf{15x - 12x - 7 = 2}

Move 7 to R.H.S ( Right Hand Side) and change it's sign

➛\sf{15x - 12x = 2 + 7}

Subtract 12x from 15x

Remember that only coefficients of like terms can be added or subtracted.

➛\sf{3x = 2 + 7}

Add the numbers : 2 and 7

➛\sf{3x = 9}

Divide both sides by 3

➛ \sf{ \frac{3x}{3}  =  \frac{9}{3}}

➛ \boxed{ \bold{ \sf{x = 3}}}

The value of x is \boxed{ \sf{3}}

✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄

☄ Now, let's check whether the value of x is 3 or not!

<h3>☥ Verification :</h3>

\sf{15x - 7 = 2 + 12x}

\dashrightarrow{ \sf{15 \times 3 - 7 = 2 + 12 \times 3}}

\dashrightarrow{ \sf{45 - 7 = 2 + 36}}

\dashrightarrow{ \sf{38 = 38}}

L.H.S = R.H.S ( Hence , the value of x is 3 ).

✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄

<h3>✒ Rules for solving an equation :</h3>
  • If an equation contains fractions ,multiply each term by the L.C.M of denominators.
  • Remove the brackets , if any.
  • Collect the terms with the variable to the left hand side and constant terms to the right hand side by changing their sign ' + ' into ' - ' and ' - ' into ' + ' .
  • Simplify and get the single term on each side.
  • Divide each side by the coefficient of variable and then get the value of variable.

Hope I helped!

Have a wonderful time ! ツ

~TheAnimeGirl

5 0
3 years ago
Solve for y then find the slope and y intercept and graph <br> y=4x+3<br><br> y=<br> b=<br> m=
Ugo [173]

Answer:

y = 4x+3

m =4

b =3

Step-by-step explanation:

y=4x+3

This is already solved for y

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = 4x+3

m =4

b =3

7 0
3 years ago
PLEASE HELP!!
Setler79 [48]

Answer:

experimental

p(green \: mable) = ( \frac{5}{24}   \times  \frac{8}{24}   \times  \frac{11}{24} )   \\  = 0.03

theoretical

p(green \: mable) =  \frac{12}{25}  \\  = 0.48

8 0
3 years ago
A recipe for chili uses 2 cups of beans. Keith is making 1, times the recipe. Which equation helps Keith find how many cups of b
Nonamiya [84]

Answer:

2x1=2

Step-by-step explanation:

If it asks for 2, but he is making that one time he still needs to use 2.

6 0
3 years ago
Write each fraction or mixed numbers as a decimal 12/75
djyliett [7]
12/75 as a decimal would be 0.16
7 0
3 years ago
Read 2 more answers
Other questions:
  • How much greater is 500 then 5
    8·1 answer
  • PLEASE HELP FAST-----------Passes through the point (-2, 0) and is perpendicular to the line y=-9
    6·1 answer
  • What is the length of the third side of the window frame below? (Figure is not drawn to scale.) A picture of a right triangular
    7·2 answers
  • Line q contains the points, (1, 5) and (1, 8). What is the relationship between the slope of line q and the slope of the x-axis?
    6·2 answers
  • What does this equal?
    7·2 answers
  • A 12-meter ladder leans against a building forming a 30° angle with the building.
    10·1 answer
  • 490 students and 10 teachers will ride the bus to go to the zoo.
    5·2 answers
  • Which one of these data sets has a mean that is different from the others?
    8·1 answer
  • 3 yd<br> 4 yd<br> What is the length of the hypotenuse?<br> yards
    14·1 answer
  • A truck can be rented from Company A for ​$70 a day plus ​$0.70 per mile. Company B charges ​$20 a day plus ​$0.80 per mile to r
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!