Question

Question #c29be

Answer 1

If a slope is undefined it means that the linear function is a vertical line with no change in the x-axis. Therefore, the unknow p, (x coordinate) has to be the same as any other point on that line, 7.

Answer 2

The missing coordinate is `7`

Explanation:

To solve this you must know the slope formula: `m=(y_2-y_1)/(x_2-x_1)`

Also, an undefined slope is one in which the denominator is zero when we compute the slope formula:

This is what we know so far:

`C: (7,5) -> (color(blue)(x_1),color(red)(y_1))`

`D: (p,10) -> (color(blue)(x_2),color(red)(y_2))`

If we plug in this information into the slope formula we get:

`m=color(blue)(10-5)/color(red)(p-7)`

If the denominator has to be `0` in order to have an undefined slope then that means `p` must equal `7`

`m=color(blue)(10-5)/color(red)(7-7) = 5/0`

The slope is now undefined.