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3 years ago

The equation of a line is X+3Y=14 what is the y-intercept of the line?

Mathematics

2 answers:

kompoz [17]3 years ago

6 0

Answer: The required y-intercept of the given line is $\dfrac{14}{3}.$

Step-by-step explanation: We are given to find the y-intercept of the following equation of a line :

$x+3y=14~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

The <em>slope-intercept form</em> of the equation of a line is given by

$y=mx+c,$ where m is the slope and c is the y-intercept of the line.

From equation (i), we have

$x+3y=14\\\\\Rightarrow 3y=-x+14\\\\\Rightarrow y=-\dfrac{1}{3}x+\dfrac{14}{3}.$

Comparing the above equation with the slope-intercept form, we get

$\textup{y-intercept, c}=\dfrac{14}{3}.$

Thus, the required y-intercept of the given line is $\dfrac{14}{3}.$

vodka [1.7K]3 years ago

4 0

X+3y=14
-x. -x
3y=-x+14
Divide them all by 3
Y=-x/3+14/3
Y-intercept= 1/3

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Answer:

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Step-by-step explanation:

Since the numbers are split evenly 5 ways, each stand gets 1/5 of the total:

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3 years ago

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3 years ago

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Andre45 [30]

Answer:

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Step-by-step explanation:

This is a simple ratio problem and can be solved using the Rule of Three property. The Rule of Three is used to compare two ratios and find the missing part. In this case the ratios would be the following.

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I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

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OverLord2011 [107]

Answer:

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Step-by-step explanation:

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3 years ago