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anastassius [24]
2 years ago
7

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

quation of line s?
Mathematics
1 answer:
MaRussiya [10]2 years ago
6 0

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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Jack and Jill live 126 km apart. They want to leave their homes at the same time,
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Answer:

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Step-by-step explanation:

Given as, Distance between Jack  and Jill = 126 km

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Let the distance travel by Jack = x km

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Time taken by Jack and Jill = T hours

Now , Distance = Speed × Time

So,     x = 18 × T

And  126 - x = 24 × T

Or,    126 - x =  24 × \frac{x}{18}

Or,    126 - x =  x × \frac{4}{3}

Or,    378 - 3x = 4x

Or,    378 = 7x

i.e x = \frac{378}{7} = 54 km

And distance travel by Jill = 126 - 54 = 72 km

So, time taken by Jack = \frac{x}{18} = \frac{54}{18}

Or, Time taken by Jack = 3 hours

Similarly Time take by Jill = \frac{72}{24} = 3 hours

∵ Both Jack and Jill will take 3 hours to meet at 12 : 00 pm

Hence, Both will leave their homes to meet on time at 9 am   Answer

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3 years ago
What is the equation, of the perpendicular to y= 1/8x + 2, , passing through the point (1,-5)?
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Step-by-step explanation:

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3 years ago
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Answer:

Answer:x=

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Step-by-step explanation:x=

Step 1: Add -2x to both sides.

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3z+4+−3z=3+−3z

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6 0
2 years ago
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