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
katrin [286]
3 years ago
5

What is the equation of the line (in slope-intercept form) that passes through the point (5,−1) and is parallel to the line y=2x

−7
Mathematics
1 answer:
tatyana61 [14]3 years ago
5 0

Answer:

<h2>y = 2x - 11</h2>

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{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\\\==========================

\text{We have the equation of a line:}\ y=2x-7\to m_1=2.\\\\\text{The slope of a parallel line:}\ m_2=m_1=2.\\\\\text{We have the equation:}\\\\y=2x+b\\\\\text{Put the coordinates of the point (5, -1) o the equation:}\\\\-1=2(5)+b\\-1=10+b\qquad\tex\text{subtract 10 from both sides}\\-11=b\to b=-11\\\\\text{Finally:}\\\\y=2x-11

You might be interested in
Find x please so difficult
Colt1911 [192]

Answer:

120 degrees

Step-by-step explanation:

Attached is a screenshot.

y = 180 - 50 - 70 = 60.

x + y = 180, so x = 120

Remember to try to use parallel lines when you can

The second uses the same method, just the opposite side.

4 0
2 years ago
0.2(-4–2.5b–7c). write the product
Xelga [282]

Answer:

-0.8 - 0.5b - 1.4c

Step-by-step explanation:

Take the b and the c away

Then times the 0.2 by all the numbers but don't add them

Once your done you and the b and c back to you equation

4 0
2 years ago
2.5kg of apples cost £3.60 work out the cost of 3.5kg of apples
professor190 [17]

Answer:

£5.04

Step-by-step explanation:

Let's first find the unit cost.

£3.60/2.5kg = £1.44/kg

To find out how much money 3.5kg of apples costs, we simply need to multiply the unit price by 3.5.

£1.44/kg * 3.5kg = £5.04.

3 0
2 years ago
Rewrite each equation in vertex form by completing the square. Then identify the vertex.
Cerrena [4.2K]
ANSWER

Vertex form:

y = ( {x + 4)}^{2} - 11

Vertex

V(-4,-11)

EXPLANATION

The given expression is

y = {x}^{2} + 8x + 5

We complete the square to get the vertex form.

Add and subtract half the square of the coefficient of x.

y = {x}^{2} + 8x + 16 + 5 - 16

y = ( {x + 4)}^{2} - 11

The vertex is

V(-4,-11)
7 0
3 years ago
Read 2 more answers
12y - 15x + 6 please hurry
ddd [48]

Answer: negative 8 or -8

Step-by-step explanation:

would include explanation but it would take a while hope it helped and may i have brainliest please?!

5 0
3 years ago
Other questions:
  • 7x+14-2(x+4) how to solve it
    6·2 answers
  • Y-24=-7 i also need to be able to show my work and make sure its correct
    8·1 answer
  • Choose 3 values that would make this inequality true. n - 3 ≤ 10
    15·2 answers
  • Find the dimensions of the rectangle with largest area that can be inscribed in an equilateral triangle with sides of 1 unit, if
    9·2 answers
  • Which measure summarizes all of the values of a data set with a single number?
    8·2 answers
  • Standard form of the equation that goes through (3, -1) with a slope of -1, please!
    8·1 answer
  • Will give brainliest.
    11·2 answers
  • For the function f(x) = -5x, which ordered pair will be a point on the graph of the function?
    11·1 answer
  • What is 6(x-3) -4 (x-5)
    7·2 answers
  • Luna's dining room is 19 feet wide and 22 feet long. Luna wants to install wooden trim
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!