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
7nadin3 [17]
3 years ago
7

Passes through (-4, 2 ) and parallel to y = 1/2x + 5

Mathematics
2 answers:
lord [1]3 years ago
7 0

Answer:

y = 1/2x + 4

Step-by-step explanation:

Lines that are parallel have the same gradient....in which its 1/2

Equation of the line that is parallel to y = 1/2x + 5 and passes through (-4,2)

(y - 2) = 1/2(x + 4)

2(y - 2) = x + 4

; 2y - 4 = x + 4

Equation of the line,

y = 1/2x + 4

kirill115 [55]3 years ago
3 0

Answer:

\large\boxed{y=\dfrac{1}{2}x+4}

Step-by-step explanation:

\text{Let}\ k:y=m_1x+b_1,\ l:y=m_2x+b_2\\\\l\ \parallel\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\===========================\\\\\text{We have}\ k:y=\dfrac{1}{2}x+5\to m_1=\dfrac{1}{2}\\\\\text{Let}\ l:y=m_2x+b.\\\\l\ \parallel\ k\iff m_2=m_1\to m_2=\dfrac{1}{2}.\\\\l:y=\dfrac{1}{2}x+b\\\\\text{Put the coordinates of the given point (-4, 2) to the equation of a line:}\\\\2=\dfrac{1}{2}(-4)+b\\\\2=-2+b\qquad\text{add 2 to both sides}\\\\4=b\to b=4\\\\\text{Finally:}\\\\y=\dfrac{1}{2}x+4

You might be interested in
Can anyone do 4.503 times 8.04
Natali [406]

Answer:

The answer is 36.20 :)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Explain how you could write 45 3/8 in scientific notation
vlada-n [284]

First you must change 3/8 into a decimal, so the number would be 45.375. To find scientific notation you have to move the decimal between a factor of 1-10. 4.5375 . You moved over the decimal once toward the left. so scientific notation would be 4.5375 X 10^1

5 0
3 years ago
3 + 2p - 4 = 11<br><br> algebra 1 solving equations
leonid [27]

Answer: the variable is p=6 .

Step-by-step explanation:

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

8 0
3 years ago
Read 2 more answers
One-step equations: integers 18=a/2
denpristay [2]

Answer:

36

Step-by-step explanation:

18=a/2

2*18=a

36=a

7 0
3 years ago
Read 2 more answers
The variable b varies directly as the square root of c. lf b= 100 when c=4, which equation can be used to find other combination
Alla [95]

Answer:

<em>b = 50√c</em>

Step-by-step explanation:

If b varies directly as the square root of c, this is expressed as;

b∝√c

b = k√c

k is the constant of proportionality

Given b = 100 and c = 4

100 = k√4

100 = 2k

k = 100/2

k = 50

Substitute k = 50 into the original expression:

Recall that: b = k√c

b = 50√c

<em>hence equation that can be used to find other combinations of b and c is b = 50√c</em>

5 0
3 years ago
Read 2 more answers
Other questions:
  • 2<br>4. Write 2 rational numbers between<br>--<br>and<br>4<br>4​
    11·1 answer
  • Which representation has a constant variation of -2.5?
    10·1 answer
  • Help Hurry Please!!!!!!!!!
    11·1 answer
  • Find the perimeter of the image below: Figure QRSTU is shown. Q is at 2, 0. R is at 4, 5. S is at 8, 7. T is at 6, 4. U is at 10
    6·2 answers
  • Simplify <br> (3xˆ5-2)ˆ1/2
    12·1 answer
  • The function y = x^2 - 4x + 5 approximates the height, y, of a bird, and its
    14·1 answer
  • A circle is centered at (-6,3) and has a radius of 11. Where does the point (3,-3) lie?
    10·1 answer
  • Graph g(x), where f(x)=2x-5 and g(x)=f(x+1)
    7·2 answers
  • Darren is finding the equation in the form y = m x b for a trend line that passes through the points (2, 18) and (–3, 8). Which
    6·1 answer
  • Which model represents the equation 15= 3x?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!