How do you write an equation in standard form for the horizontal and vertical line through (4,5)?

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How do you write an equation in standard form for the horizontal and vertical line through (4,5)?

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Answer 1 · 2017-07-20T17:48:27

See a solution process below:

Explanation:

The equation for a horizontal line going through $(4, 5)$ $(4, 5)$ is:

$y = 5$ $y = 5$ where for each and every value of $x$ $x$ , $y = 5$ $y = 5$

The standard form of a linear equation is: $A x + B y = C$ $color(red)(A)x + color(blue)(B)y = color(green)(C)$

Where, if at all possible, $A$ $color(red)(A)$ , $B$ $color(blue)(B)$ , and $C$ $color(green)(C)$ are integers, and A is non-negative, and, A, B, and C have no common factors other than 1

We can then write the equation above as:

$0 x + 1 y = 5$ $color(red)(0)x + color(blue)(1)y = color(green)(5)$

The equation for a vertical line going through $(4, 5)$ $(4, 5)$ is:

$x = 4$ $x = 4$ where for each and every value of $y$ $y$ , $x = 4$ $x = 4$

The standard form of a linear equation is: $A x + B y = C$ $color(red)(A)x + color(blue)(B)y = color(green)(C)$

Where, if at all possible, $A$ $color(red)(A)$ , $B$ $color(blue)(B)$ , and $C$ $color(green)(C)$ are integers, and A is non-negative, and, A, B, and C have no common factors other than 1

We can then write the equation above as:

$1 x + 0 y = 4$ $color(red)(1)x + color(blue)(0)y = color(green)(4)$

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How do you write an equation in standard form for the horizontal and vertical line through (4,5)?

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