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Goryan [66]
3 years ago
6

Find an equation of the line parallel to y= 1/3x +1 and that passes through the point (3,5)

Mathematics
1 answer:
bulgar [2K]3 years ago
6 0
So in order to find the line you’ll have to submit the point (3,5) and the slope into the point slope formula : y-y1= m(x-x1)

Y-5= 1/3(x-3)

Solve(turn to y intercept form):

Y-5= 1/3x -1



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9.21 - (-5.51)
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The equation for line r can be written as y=-1/4x+3. Line s which is parallel to lone r includes the point (-4,3). What is the e
MaRussiya [10]

Answer:

y=-\frac{1}{4}x+2

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form:y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0)
  • Parallel lines always have the same slope

<u>1) Determine the slope of line S using line R (m)</u>

y=-\frac{1}{4} x+3

We can identify clearly that the slope of the line is -\frac{1}{4}, as it is in the place of m. Because parallel lines always have the same slope, the slope of line S would also be -\frac{1}{4}. Plug this into y=mx+b:

y=-\frac{1}{4}x+b

<u>2) Determine the y-intercept of line S (b)</u>

y=-\frac{1}{4}x+b

Plug in the given point (-4,3) and solve for b

3=-\frac{1}{4}(-4)+b\\3=1+b

Subtract 1 from both sides to isolate b

3-1=1+b-1\\2=b

Therefore, the y-intercept is 2. Plug this back into y=-\frac{1}{4}x+b:

y=-\frac{1}{4}x+2

I hope this helps!

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3/4 + (1/3 ÷ 1/6) - (-1/2) =
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What is 2 times 5 to the 3rd power divided by (9-4) raised to the power of 4
Maslowich
Heyo Kiddo. How are you doing today? 

Let's figure this out. 

So in number form, the equation will be looking a little like this: 

2(5) ^{3} / (9-4)^4

To solve. 

2(5) ^{3} / (9-4)^4 \ \textless \ Parenthesis first\ \textgreater \ &#10;&#10;2(5)^{3} / 5^4 \ \textless \ Exponents\ \textgreater \ &#10;&#10;2(125) / 625 (Multiply)&#10;&#10;250 / 625  (Divide)&#10;&#10;0.4  (Answer)

So I hope this answers your question and that you have a great day. :)
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Answer:

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Step-by-step explanation:

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