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tensa zangetsu [6.8K]
3 years ago
13

Write an equation that is parallel to the line 4x - y = 2 and passes through the point (-2, 3)

Mathematics
1 answer:
sergeinik [125]3 years ago
7 0
We can start from the given line's coefficients and translate the line from the origin to the given point.
  4(x -(-2)) -(y -3) = 0
  4x +8 -y +3 = 0

The equation of the desired line is ...
  4x -y = -11

_____
For standard form line ax+by=c, any parallel line will have only a different value of c. For c=0, the line goes through the origin (0, 0). To make it go through point (h, k) we can write it as
  a(x-h) +b(y-k) = 0
which is completely equivalent to
  ax +by = ah +bk

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Which equation is parallel to the graph of y = 2x-5 and goes through the point (3,9)?
lawyer [7]

Answer:

y = 2x + 3

Step-by-step explanation:

the slope is 2 so the line parallel will have a slope of 2

y-9 = 2(x-3)

y-9= 2x - 6

y = 2x +3

6 0
2 years ago
Rashau made a rectangular frame for her latest oil painting. The length is 28 centimeters more than triple the width. The perime
postnew [5]
The length is about 28 more than three times the width. Denoted as (a) width, and as (b) the length. Then move on to lay the system of equations, as done below:

\begin{cases}2a+2b=136\\b=3a+28\end{cases}
\begin{cases}2a+2b=136|:2\\b=3a+28\end{cases}
\begin{cases}a+b=68\\b=3a+28\end{cases}
\begin{cases}a+3a+28=68\\b=3a+28\end{cases}
\begin{cases}4a=40|:4\\b=3a+28\end{cases}
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The short side has a length of 10 cm, and 58 cm long.
5 0
3 years ago
What is the square root of 265
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4 0
3 years ago
Read 2 more answers
Determine the equation of a line parallel to the graph of y=3x - 9 and goes through the point (2, 10)​
hjlf

Answer:

y=3x+4

Step-by-step explanation:

since the line is parallel it has the same slope so we have y = 3x + b. plug in the point (2,10) to get 10 = 3*2 + b, so b=4. so the equation is y = 3x +4

6 0
2 years ago
0.004 - (-2.51) + 0.027=<br> Please show me how to get the answer
nekit [7.7K]
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