How do you write an equation of a line given (2, 5) and has slope undifined?

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How do you write an equation of a line given (2, 5) and has slope undifined?

2 Answers

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Answer 1 · 2018-06-20T19:45:38

$x = 2$ $x=2$

Explanation:

$a line with an undefined slope is a vertical line, parallel$ $"a line with an undefined slope is a vertical line, parallel "$
$to the y-axis and passing through all points with the$ $"to the y-axis and passing through all points with the "$
$same x-coordinate$ $"same x-coordinate"$

$for this reason it's equation is x = c$ $"for this reason it's equation is "x=c$

$where c is the value of the x-coordinate it goes through$ $"where c is the value of the x-coordinate it goes through"$

$given the point (2, 5)$ $"given the point "(color(red)(2),5)$

$the equation is x = 2$ $"the equation is "x=2$
graph{(y-1000x+2000)=0 [-10, 10, -5, 5]}

Answer 2 · 2018-06-20T19:53:03

$y = a x + (5 - 2 a)$ $y=ax+(5-2a)$ for any $a$ $a$

Explanation:

Any line is given on the form $y = a x + b$ $y=ax+b$

You want this line to go through (2, 5), i.e. for $x = 2 y = 5$ $x=2 y=5$ :
$5 = 2 a + b$ $5=2a+b$
Therefore, $b = 5 - 2 a$ $b=5-2a$
The general equation for the line would, therefore, be:
$y = a x + (5 - 2 a)$ $y=ax+(5-2a)$

The lines would go like this:
enter image source here

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How do you write an equation of a line given (2, 5) and has slope undifined?

2 Answers

Explanation:

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