Question

How do you find the slope of (-1, -5) and (-4, -5)?

Answer 1

See a solution process below:

Explanation:

The slope can be found by using the formula: `m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))`

Where `m` is the slope and (`color(blue)(x_1, y_1)`) and (`color(red)(x_2, y_2)`) are the two points on the line.

Substituting the values from the points in the problem gives:

`m = (color(red)(-5) - color(blue)(-5))/(color(red)(-4) - color(blue)(-1)) = (color(red)(-5) + color(blue)(5))/(color(red)(-4) + color(blue)(1)) = 0/-3 = 0`

A line with a slope of `0` is, by definition, a horizontal line.

This can be seen in this problem because the `y` value for both points are the same: `-5`

Answer 2

`m=0`

Explanation:

If line passing through two different points `A(x_1,y_1)andB(x_2,y_2), then`,slop of `l` is
`color(red)(m=(y_2-y_1)/(x_2-x_1))`,where,`x_1!=x_2`.
Here,`A(-1,-5),andB(-4,-5)`
`m=((-5)-(-5))/((-4)-(-1))=0/-3=0`
Note: `y_1=y_2rArrl` ,is passing through y=-5,and `l` is // to `X-`axis.So, the slop of `l,is` .0