Question

What is the equation of the line that passes through the point (-8,-8)(−8,−8) and has a slope of 0?

Answer 1

`y=-8`

Explanation:

Recall the slope formula:

`m=(x_(2) -x_(1))/(y_(2) -y_(1))`

Since all of the x and y values are -8, we can easily plug in the values.

`m=(-8+8)/(-8+8)=0`

(The second -8 on the top and bottom is positive because adding when subtracting negatives, you must add. For example -1-(-1) would become -1+1=0)

Recall the point-slope formula:

`y-y_(1) = m(x-x_(1) )`

Now substitute and solve.

`y-(-8)=0(x-(-8)` Substitute

`y+8=0(x+8)` Simplify

`y+8=0` Distributive Property

`y=-8` Subtraction Property

Therefore the answer is
`y=-8`.