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never [62]
3 years ago
12

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

Mathematics
2 answers:
Dmitry_Shevchenko [17]3 years ago
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]3 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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7 0
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NS = √[(- 4 - 3 )² + (- 3 + 4)²] = 5√2

NA = AT = TS = NS = 5√2

m_{NA} = (- 3 - 2) / (- 4 - 1) = 1 ........ <em>(1)</em>

m_{TS} = (- 4 - 1) / (3 - 8 ) = 1 ......... <em>(2)</em>

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From (3) and (4) ⇒ AT║NS

Thus, NATS is rhombus.

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3 years ago
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