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
Musya8 [376]
3 years ago
5

Find equation of a line through 5 -3 that is parallel to y=1/2x+3

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
8 0

Answer:

The equation of a line through (5 -3) that is parallel to y = 1/2 x+3 is

y = - 2 x  + 7

Step-by-step explanation:

Let us assume the slope of the line whose equation we need to find is m 1.

The line parallel to the needed line  is:   y=1/2x+3

Comparing it with the general form: y = m x + C

we get m 2 = 1/2

Now, as Line 1 is Perpendicular to Line 2.

⇒ m 1 x m 2  = -1

⇒ m 1 x ( 1/2)  = -1

⇒ m 1  = - 2

Also, the point son the line 1 is given as: (x,y)  = (5,-3)

Put the value of point and Slope in y = m x + C to find the value of Y- INTERCEPT.

we get: -3 = (-2) (5) +  C

or, C = -3 + 10 = 7

⇒ C = 7

The general line equation is given as:  y = m x + C

Substituting  the values of C and m, we get:

y = - 2 x  + 7

Hence, the equation of a line through 5 -3 that is parallel to y = 1/2 x+3 is

y = - 2 x  + 7

You might be interested in
PRE-CAL/CAL MASTER NEEDED
Tanzania [10]
For every x you see in the f function you will replace with the h function 
  

3 0
3 years ago
I need help I got this wrong
wlad13 [49]
<h2>Solution : </h2>

y = -2|x +1|

→ |x + 1| = -y/2

→ x+1 = y/2

and

x + 1 = -y/2

→ x + 1 belongs to R

→ x belongs to R

Domain = R

Range = y = -2(R)

→( -∞ , 0)

3 0
3 years ago
Sneha obtains 240 marks out of 600 vijay obtains 490 marks out of 700 whose performance is better​
OLEGan [10]

Answer:

Vijay performance is better

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Jayden bought a bike for
alexandr1967 [171]

Answer:

the total cost of the bike including modifying cost is $24,150

Step-by-step explanation:

⇒ bike cost: $21,000

⇒ 15% of $21,000 is 0.15 x 21,000 = 3,150

⇒ initial + additional cost: $21,000 + $3,150 = $24,150

AND WELCOME TO BRAINLY!!

3 0
1 year ago
Classify the polynomial by its degree and the number of terms. 8x²- 3y + 7
katen-ka-za [31]

Answer:

2nd degree

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • You have filed your taxes more than 60 days late which means you are subject to a penalty of $135 or 100% of your unpaid tax, wh
    12·2 answers
  • Solve this equation. Solve for the letter X<br> -×=-34
    10·2 answers
  • What's a non iscoceles trapezoid
    5·1 answer
  • an ice Cream truck driver determined he made 3.78 after selling 3 ice CREAM bars (using the equation y=kx) how much would earn i
    6·1 answer
  • What is the value of 6/1+i? 2-6i <br> 2+6i <br> 3-3i <br> 3+3i
    10·1 answer
  • Lol it looks easy but everytime i submit my answer it ends up wrong sooo help pls
    15·2 answers
  • Which best describes a fraction?
    6·1 answer
  • Find the median and mean of the data set below: 3,31,2,49,34,15,34 3,31,2,49,34,15,34
    11·1 answer
  • M∠GFZ = 38°, m∠ZFE = 2x+ 125, and m∠GFE = x+ 163. Find x.
    9·1 answer
  • 0.2(3m − 6) + m = 2 for 8th grade
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!