Question

How do you find slope, point slope, slope intercept, standard form, domain and range of a line for Line A (0,-7) (0,-12)?

Answer 1

Slope: Undefined
Line: `x=0`
Point-slope: N/A
Slope-intercept: N/A
Standard form: `x+0y=0`
Domain: `(0)`
Range: `(-oo,oo)`

Explanation:

By looking at the points, we can tell that the line is vertical at the y-axis. To prove this, let's find the slope:

`(-12-(-7))/0-0=-5/0`

Noting can be divided by 0, so the slope is undefined. Our equation for this line will be `x=0`.

We can't write an equation for this line in point-slope form or in slope-intercept form because the undefined slope prevents us. Only standard form exists because it doesn't require a slope:

`x+0y=0`

The only x-value that the line is at is `0`, so the domain is `(0)`. The line extends for infinity in both directions, so the range is `(-oo,oo)`.