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
Vladimir79 [104]
3 years ago
12

Find the equation of a line that passes through the points (6,7) and (8,3).

Mathematics
1 answer:
horsena [70]3 years ago
3 0

Answer:

y=-2x+19

Step-by-step explanation:

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:  m= \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }.

Now we have,

m= 3-7/8-6

m=-2. Since m=-2, the equation is y=-2x+b.

To find b, think about what your (x,y) points mean:

(6,7). When x of the line is 6, y of the line must be 7.

(8,3). When x of the line is 8, y of the line must be 3.

Substitute them to the equation  y=-2x+b.

You can use either (x,y) point you want..the answer will be the same:

(6,7). y=mx+b or 7=-2 × 6+b, or solving for b: b=7-(-2)(6). b=19.

(8,3). y=mx+b or 3=-2 × 8+b, or solving for b: b=3-(-2)(8). b=19.

So, the equation of the line that passes through the points

(6,7) and (8,3)  is  y=-2x+19.

You might be interested in
Kerry bought a conical tent to put in the back porch. The tent instructions reveal the height at the tallest point to be 4.5 fee
almond37 [142]
15 feet is the answer
4 0
3 years ago
Read 2 more answers
Irrational number between 2/7 and 3/7
e-lub [12.9K]

Answer: pi/8

Step-by-step explanation:

adding or multiplying an irrational by a rational will result in another irrational. So we could take something like pi and divide it until it’s between 2/7 and 3/7. I did that and apparently pi/8 works, so boom

6 0
2 years ago
Solve 6^x=1,296<br><br><br> X=__________a0
Troyanec [42]

Answer:

x=4

Step-by-step explanation:

6^x = 1296

Take the log base 6 on each side

log6(6^x) = log6(1296)

Rewrite 1296 as 6^4

x = log 6(6^4)

We know that log( a^b) = b log (a)

x = 4 log6(6)

We know that loga(a) =1

x = 4 *a

x =4

5 0
3 years ago
Read 2 more answers
A rug is 4 m wide. How much is this in centimeters?
Crank
It's very simple
1m=100cm
4m=4×100=400cm
6 0
3 years ago
Read 2 more answers
Jay sells 10 packs of apples for 80p. He wants to make £75 at the end of the year. How many packs of apples does he need to sell
ipn [44]

Answer:

937.5 packs of apples

Step-by-step explanation:

Note that:

100p = £1

80p = x

Cross Multiply

100x = 80p × £1

x = 80/100

x = £0.8

Jay sells 10 packs of apples for 80p.

Hence:

£0.8 = 10 packs of apples

£75 = x

Cross Multiply

£0.8 × x = £75 × 10 Packs

x = £75 × 10 Packs/£0.8

x = 937.5

Therefore, to make £75 at the end of the year, he has to sell 937.5 packs of apples

3 0
2 years ago
Other questions:
  • Solve the equation for a. K = 4a + 9ab a = K(4 + 9b) a = 4(K + 9b) a = a =
    10·3 answers
  • What is the answer to the question?
    8·1 answer
  • Find the slope of the line through the points (-13,15), (20,-7)
    15·1 answer
  • the teachers set a goal of 225. Write two statements that the principal could use to compare this goal to the eighth grader's go
    11·1 answer
  • Which statements are true of the quadrilateral she constructed? Select three options.
    11·1 answer
  • Does anyone understand geometry well?
    6·1 answer
  • Which expressions are listed in the simplest form ? Check all that apply
    14·2 answers
  • In which choice do all the points lie on the same line
    14·2 answers
  • A group of friends decides to go to the local bowling alley. They can rent the lane for 1 hour at a cost of $ 20 and the shoes a
    8·1 answer
  • Philip is making chocolate cupcakes for a
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!