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
julsineya [31]
3 years ago
6

Write the point-slope form of the equation of the line through point (6, -2) that is perpendicular to the line y=2x-3​

Mathematics
1 answer:
Lorico [155]3 years ago
5 0

Answer:

The point - slope form of the equation of line 1 is y = (-1/2)x + 1

Step-by-step explanation:

here, the given point on the equation  1  is A(6, -2).

Now, equation of line 2 is y = 2x - 3

Comparing it with the INTERCEPT SLOPE FORM :  y =  mx + C

Slope of Line 2    = 2  (= m2)

Now,as line 1 is perpendicular to line 1

⇒ Slope of line 1  x Slope of line 2  = -1

or, slope of line 1  = (-1/2)

Now, by POINT SLOPE form of a equation:

An equation with point (x0 , y0) and slope m is given as

(y - y0)=  m (x - x0)

Here, the equation of line 1 with point (6, -2) and slope (-1/2) is given as:

y - (-2)  = \frac{-1}{2}  (x -6)\\\implies 2( y + 2)   = 6 -x\\or, 2y + 4  = 6 -x\\\implies 2y = -x + 2\\or, y = (-\frac{1}{2}) x + 1

Hence, the point - slope form of the equation of line 1 is y = (-1/2)x + 1

You might be interested in
The original price of a motorcycle was reduced by $275.
Sati [7]
The answer would be C. p - 275. If the original price of the motorcycle is p, and it was REDUCED, that means to subtract from p. 
4 0
3 years ago
Read 2 more answers
Which ratio is equivalent to 3/7? <br> A) 6 to 10<br> B) 9:12<br> C) 12/35<br> D) 7 to 3
Leona [35]

we are ratio as

=\frac{3}{7}

It will be equivalent to only those terms which would be multiple of this term

so, we will multiply top and bottom term by 5

and we get

=\frac{3\times 5}{7\times 5}

=\frac{15}{7\times 5}

=\frac{15}{35}

so, it is very similar to 12/35

so, it will be equivalent to 12/35

so, option-C.......Answer

7 0
3 years ago
In quadrilateral QRST, Angle R S T measures (5x+15)°. Angle TQR measures (4x+3)°. Circle P is inscribed with quadrilateral Q R S
Assoli18 [71]

Answer:

105degrees

Step-by-step explanation:

Using the theorems that states that the sum of the opposite side of the quadrilateral is 180degrees, hence;

<RST + <TQR = 180

5x+15 + 4x+ 3 = 180

9x + 18 = 180

9x = 180 - 18

9x = 162

x = 162/9

x = 18

Since <RST = 5x+15

<RST = 5(18) + 15

<RST = 90 + 15

<RST = 105degrees

Hence the measure of <RST is 105degrees

7 0
3 years ago
Read 2 more answers
Simpilfy the following expession (-1)(-7)(4)
Leno4ka [110]

Answer:

28

Step-by-step explanation:

(-1)(-7)(4)

(7)(4)

28

8 0
3 years ago
Add 3 to the difference between 5 and 2
Arturiano [62]

6 because 5-2=3 and 3+3 is 6

6 0
3 years ago
Read 2 more answers
Other questions:
  • The graph of the function f(x) is shown below.
    5·2 answers
  • Write a # where the value of the 4 in the thousands place is x1/10 the # 854,093
    10·1 answer
  • PLEASE HELP ME OUT <br> EASY POINTS HERE :)
    14·2 answers
  • Suppose a national survey conducted among a simple random sample of 1528 American adults, 800 indicate that they think the Civil
    5·1 answer
  • 24 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    5·1 answer
  • 60 minutes is what percentage of 1 hour?​
    8·2 answers
  • James defines an angle as "a figure consisting of two rays." His statement is not precise enough because he should specify that
    11·2 answers
  • 4a+b−5<br><br> A 2<br> B 6<br> C 7<br> D 14
    10·1 answer
  • Solve the mean of 4,5,3,4,3,1
    11·2 answers
  • Select the graph of y=cot x.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!