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4 years ago

Select the equation of the line that passes through the point (5, 7) and is perpendicular to the line x = 4.

2 answers:

8 0

Yes, I think the answer is y = 7. The line x = 4 runs vertical (because all of the points in that line have an x-value of 4) so any line that is perpendicular to it has to be horizontal. Any line that is horizontal is in the form y = (some number). In order for the new line to run through the point (5,7) it would have to have the same y-value as that point, which is 7. So the new line is y = 7. Hope this helps :) (P.S. try graphing them both if you need a visual.)

Amanda [17]4 years ago

7 0

Yes , it would be y = 7 As, the required line is perpendicular to x = 4 it will definitely pass through y axis and it will be a straight line passing through the y coordinate of the point (5,7)

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Translate the sentence into an equation.

Andreas93 [3]

<h2>Translating Sentences into Equations</h2>

A key part of this is recognizing certain words to change into operations or numbers:

<em>quotient</em> = divide
<em>three more</em> = add 3
<em>'a/the number' </em>= use a variable (in this case, it's <em>w</em>)

<h2>Solving the Question</h2>

We're given:

Three more than the quotient of a number and 7 equals 6
⇒ 'the quotient of a number and 7' tells us we divide <em>w</em> by 7:
Three more than $\dfrac{w}{7}$ equals 6
⇒ 'three more than' means we add 3 to the fraction:
$\dfrac{w}{7}+3$ equals 6
$\dfrac{w}{7}+3=6$

<h2>Answer</h2>

$\dfrac{w}{7}+3=6$

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