How do you write an equation in standard form for the horizontal and vertical line through (-1, -8)?

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How do you write an equation in standard form for the horizontal and vertical line through (-1, -8)?

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Answer 1 · 2017-07-22T21:35:16

See a solution process below:

Explanation:

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

Horizontal Line

A horizontal line has the same value for $y$ $y$ for each and every value of $x$ $x$ . Therefore, because the $y$ $y$ value for the point in the problem is $- 8$ $-8$ the equation for this line is:

$y = - 8$ $y = -8$

To put this in standard format, the coefficient for $x$ $x$ is $0$ $0$ and the coefficient for $y$ $y$ is $1$ $1$ giving:

$0 x + 1 y = - 8$ $color(red)(0)x + color(blue)(1)y = color(green)(-8)$

Vertical Line

A horizontal line has the same value for $x$ $x$ for each and every value of $y$ $y$ . Therefore, because the $x$ $x$ value for the point in the problem is $- 1$ $-1$ the equation for this line is:

$x = - 1$ $x = -1$

To put this in standard format, the coefficient for $y$ $y$ is $0$ $0$ and the coefficient for $x$ $x$ is $1$ $1$ giving:

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

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How do you write an equation in standard form for the horizontal and vertical line through (-1, -8)?

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