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
Step2247 [10]
3 years ago
13

Write an equation (a) in slope intercept form and (b) in standard form for the line passing through (2,7) and perpendicular to 3

x + 5y = 1
Mathematics
1 answer:
romanna [79]3 years ago
4 0

Answer:

Step-by-step explanation:

Solve 3x + 5y = 1 for y to obtain the slope of the given line:

5y = -3x + 1, or y = (-3/5)x + 1.

Any line perpendicular to this one has the slope which is the negative reciprocal of (-3/5):  That would be 5/3.

The desired line has slope 5/3 and passes through (2, 7);

Adapt y = mx + b by substituting the known values, to find b:

7 = (5/3)(2) + b.  The LCD is 3, so multiply each term by 3 to eliminate the fractional coefficient:

21 = 10 + 3b, or 11 = 3b.  Then b = 11/3, and the desired equation in slope intercept form is

y = (5/3)x + 11/3

To obtain the standard form, multiply all three terms by 3 again:

3y = 5x + 11, or

5x + 11 - 3y = 0, or

5x - 3y + 11 = 0

You might be interested in
What is the value of X? <br> x/5+6=36<br> X=?
Nonamiya [84]
<span><span> STEP 1. </span><span><span>x/5+6= 36
 STEP 2. x/5 = 30
STEP TRES  x= 150</span> </span></span>
6 0
3 years ago
A deposit of 5500 at 6% for 3 years equals
Triss [41]
What are we supposed to solve...?
6 0
3 years ago
Read 2 more answers
There is a line whose y-intercept is 7 and whose slope is 8. What is its equation in slope-intercept form?
Annette [7]
Answer:
y = 8x + 7

Explanation:
The equation of the line in slope-intercept form has the following general formula:
y = mx + c
where:
m is the slope of the line = 8
c is the y-intercept = 7

Substitute with the givens in the above formula to get the slope of the line as follows:
y = mx + c
y = 8x + 7

Hope this helps :)
4 0
2 years ago
9 (2x + 1) - 4(x – 6) = 6 (2x + 1) +5 (7-6)<br> Solve the equation
Eduardwww [97]

Answer:

1

Step-by-step explanation:

18x+9-4x+24=12x+6+35-30

18x-4x-12x=6+35-30-9

2x=2

x=2/2

x=1

7 0
3 years ago
Read 2 more answers
The temperature has been rising the last 3 days. The total temperature change was 5.4 degrees. What is the average temperature c
Irina18 [472]
The average temp change per day was 1.8 degrees!!
5.4/3=1.8
hope this helps:)
6 0
3 years ago
Read 2 more answers
Other questions:
  • Megan start studying at 10 minutes past 4 and finishes at 5:49 how long did she study for give me a start middle and end
    14·1 answer
  • What is the value of f(5) in the function below <br> f(x)=3x
    8·2 answers
  • Write the equation of the line that passes through the points (-6,8)(−6,8) and (8,8)(8,8). Put your answer in fully reduced poin
    7·1 answer
  • 4x-7y=15 and 5x-2y=12
    7·2 answers
  • On average, 75% of the days in Henderson county are sunny, with little or no cloud cover. Describe a model that you could use to
    6·2 answers
  • A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores
    5·1 answer
  • -g + 2(3 + g) = -419 + 1)<br> What is the solution
    7·2 answers
  • Andre is making paper cranes to decorate for a party. He plans to make one large paper crane for
    10·1 answer
  • A local fish market is selling fish and lobsters by the pound. The fish, f, costs $5.00 a pound, while the lobster, l, costs $8.
    6·1 answer
  • ILL GIVE BRAINELST
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!