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
fenix001 [56]
3 years ago
13

How to write an equation of the line through the point (-2,1) that is perpendicular to the line 5x+9y=-9

Mathematics
1 answer:
Julli [10]3 years ago
6 0

Answer:

\large\boxed{y=\dfrac{5}{9}x+\dfrac{19}{9}}

Step-by-step explanation:

\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\===================================\\\\\text{We have the equation i the standard form.}\\\text{ Convert it to the slope-intercept form}\ y=mx+b:\\\\5x+9y=-9\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\9y=-5x-9\qquad\text{divide both sides by 9}\\\\y=-\dfrac{5}{9}x-1\to m_1=-\dfrac{5}{9}\\\\m_2=-\dfrac{1}{m_1}\to m_2=-\dfrac{1}{-\frac{5}{9}}=\dfrac{9}{5}

\text{We have the equation:}\\\\y=\dfrac{5}{9}x+b\\\\\text{Put the coordinates of the point (-2, 1) to the equation:}\\\\1=\dfrac{5}{9}(-2)+b\\\\1=-\dfrac{10}{9}+b\qquad\text{add}\ \dfrac{10}{5}\ \text{to both sides}\\\\\dfrac{19}{9}=b\to b=\dfrac{19}{9}

You might be interested in
50+24/(6x2) <br> Please solve and show work. Thank you.
stepladder [879]
<span>50+<span>24<span>6<span>x2

</span></span></span></span><span>=<span><span><span>300<span>x^2</span></span>+24/</span><span>6<span>x^2
the answer is </span></span></span></span><span>=<span><span><span>50<span>x^2</span></span>+4/</span><span>x^<span>2</span></span></span></span>
6 0
3 years ago
Besties help me rn
olga55 [171]

Answer:

(x+5)-(2x-3)

or simplified

8-x or -x+8

7 0
2 years ago
If points A,B and C are collinear, determine the value of x in the diagram.
kobusy [5.1K]

Answer:

x equal four-teen... I'm pretty sure brainliest plsss

3 0
3 years ago
5.<br> Solve<br> 3/5x + 1/3 &lt;4/5x+-1/3
mihalych1998 [28]

Answer:

Inequality form: x>10/3

Interval Notation: (10/3, infinity)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

3 0
3 years ago
Read 2 more answers
Dave has 15$ to spend on an 8$ book and two birthday cards (cl for his friends. how much can he spend on each card if he buys th
vova2212 [387]
X=15

(X-8)/2

Does that work?
6 0
3 years ago
Other questions:
  • The PTA at Newberg High School is having its annual dinner and auction to raise money for music and art programs. Last year, the
    14·1 answer
  • Frank has been driving at a constant speed for 3 hours, during which time he traveled 195 miles. Frank would like to know how lo
    15·1 answer
  • Mr. Cohen‘s monthly salary was 2300 and December his monthly salary increased by 15% in January what was the salary in January
    5·1 answer
  • Of the 15 children at the park, 12 children are riding bicycles and 3 children are riding
    11·2 answers
  • Simplify 1/2(6x−10)+5x.
    15·2 answers
  • 3x^2+bx+24=0 if one of its root is 3
    10·1 answer
  • PLS HELP WITH THIS I NEED A GOOD GRADE
    14·1 answer
  • Please answer the following essay question:
    12·1 answer
  • Write an equation for each problem. Then solve. Round to the nearest tenth if necessary. 75 is what percent of 150?
    13·1 answer
  • Lorraine turns on her oven to roast vegetables. The oven warms to the desired
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!