Question

How do you write the standard form of a line given undefined slope and passes through the point (4, 7)?

Answer 1

See the solution process below:

Explanation:

If the slope of the line is undefined then by definition this is a vertical line. Vertical lines have the equation `x = a` where `a` is the same value for `x` for each and every value of `y`. The point in this problem has a value for `x` of `4`. Therefore the equation for this line is:

`x = 4`

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

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

Therefore, the Standard Form of the linear equation for this problem is:

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