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zhannawk [14.2K]
2 years ago
5

Write the slope-intercept form of the line that passes through (1, -2) and is parallel to the line y = 4x + 2.

Mathematics
2 answers:
Naily [24]2 years ago
8 0

Use

y-y1=m(x-x1)

y-(-2)=4(x-1) Now why 4??Because parallel lines have the exact same slope

y+2=4x-4

y=4x-4-2

y=4x-6

Hope it helps!

GraceRosalia

~Just a teen who listens to music

seraphim [82]2 years ago
4 0
Parallel lines have the same slope.

Given the linear equation, y = 4x + 2:

Since the slope = 4, then we can assume that the slope of the line parallel to y = 4x + 2 will have the same slope.

We’ll use this slope and the given point, (1,-2), and plug these values into the slope-intercept form (y = mx + b) to solve for the y-intercept (b):

y = mx + b
-2 = 4(1) + b
-2 = 4 + b

Subtract 4 from both sides to isolate and solve for b:

-2 - 4 = 4 - 4 + b
-6 = b

Therefore, the y-coordinate of the y-intercept is -6 . Now, we can finally establish the linear equation of the line parallel to y = 4x + 2, which is:

y = 4x - 6.

Attached is a screenshot of the graph of both equations to show that we came up with a line parallel to the original equation.

Please mark my answers as the Brainliest if you find my explanations helpful :)

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Step-by-step explanation:

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3 years ago
It takes 4 hours and 15 minutes to fly from Orlando, Florida, to Boston, Massachusetts. The distance between the two cities is 1
3241004551 [841]

Answer:

262.12mph and 419kph

Step-by-step explanation:

Given: It takes 4 hours and 15 minutes to fly from Orlando, Florida, to Boston, Massachusetts. The distance between the two cities is 1114 miles

To Find: the average speend of the plane in miles per hour, If every mile is approximately 1.6 kilometers, the speed of the airplane in kilometers per hour

Solution:

Distance between Orlando,Florida and Boston, Massachusetts=1114 \text{miles}

Time taken to cover the distance =4\text{hours} and 15\text{minutes}

We know that,

\text{Average Speed}=\frac{\text{Total Distance}}{\text{Total time}}

                                          =\frac{1114}{\frac{17}{4}}

                                          =\frac{1114\times4}{17}

                                          =262.12 \text{mph}

It is given that,

1\text{mile}=1.6\text{kilometer}

therefore,

1\text{mph}=1.6\text{kph}

Speed Of plane in Kilometers per hours =\text{speed in mph}\times1.6

                                                                   419.4\text{kph}

Speed of in miles per hour  is 262.12 \text{mph} and Speed in kilometer per hour  419.4\text{kph}

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Nutka1998 [239]

Answer:


Step-by-step explanation:

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pychu [463]

Answer:

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<em>Hope this helps</em>

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