Question

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

Answer 1

The slope is `-9/4`

Explanation:

Using the basis that slope is `(rise)/(run)`, or change in `x` over change in `y`, we cand find the slope of a line based on two points, like so:

`(y_2-y_1)/(x_2-x_1)`

`(-5-4)/(-1--5)`

`(-9)/(4)`

The slope is `-9/4`

Answer 2

`"slope "=0`

Explanation:

To calculate the slope use the `color(blue)"gradient formula"`

`color(red)(bar(ul(|color(white)(2/2)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(2/2)|)))`
where m represents the slope and `(x_1,y_1),(x_2,y_2)" 2 coordinate points"`

`"the 2 points here are " (4,-5)" and " (-1,-5)`

`"let " (x_1,y_1)=(4,-5)" and " (x_2,y_2)=(-1,-5)`

`rArrm=(-5-(-5))/(-1-4)=0/(-5)=0`

A slope of zero indicates that the line is horizontal, parallel to the x-axis and passes through all points with the same y-coordinate, in this case y = - 5

`"the equation of this line is therefore " y=-5`
graph{y-0.001x+5=0 [-10, 10, -5, 5]}